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Simplifying 2(X + -5) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) Reorder the terms: 2(-5 + X) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) (-5 * 2 + X * 2) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) (-10 + 2X) + 3(2 + -2x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) -10 + 2X + (2 * 3 + -2x * 3) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) -10 + 2X + (6 + -6x) + -4(9x + 1) = 11 + -4(X + 2) + -3x + 3(x + -4) Reorder the terms: -10 + 2X + 6 + -6x + -4(1 + 9x) = 11 + -4(X + 2) + -3x + 3(x + -4) -10 + 2X + 6 + -6x + (1 * -4 + 9x * -4) = 11 + -4(X + 2) + -3x + 3(x + -4) -10 + 2X + 6 + -6x + (-4 + -36x) = 11 + -4(X + 2) + -3x + 3(x + -4) Reorder the terms: -10 + 6 + -4 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4) Combine like terms: -10 + 6 = -4 -4 + -4 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4) Combine like terms: -4 + -4 = -8 -8 + 2X + -6x + -36x = 11 + -4(X + 2) + -3x + 3(x + -4) Combine like terms: -6x + -36x = -42x -8 + 2X + -42x = 11 + -4(X + 2) + -3x + 3(x + -4) Reorder the terms: -8 + 2X + -42x = 11 + -4(2 + X) + -3x + 3(x + -4) -8 + 2X + -42x = 11 + (2 * -4 + X * -4) + -3x + 3(x + -4) -8 + 2X + -42x = 11 + (-8 + -4X) + -3x + 3(x + -4) Reorder the terms: -8 + 2X + -42x = 11 + -8 + -4X + -3x + 3(-4 + x) -8 + 2X + -42x = 11 + -8 + -4X + -3x + (-4 * 3 + x * 3) -8 + 2X + -42x = 11 + -8 + -4X + -3x + (-12 + 3x) Reorder the terms: -8 + 2X + -42x = 11 + -8 + -12 + -4X + -3x + 3x Combine like terms: 11 + -8 = 3 -8 + 2X + -42x = 3 + -12 + -4X + -3x + 3x Combine like terms: 3 + -12 = -9 -8 + 2X + -42x = -9 + -4X + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 2X + -42x = -9 + -4X + 0 -8 + 2X + -42x = -9 + -4X Solving -8 + 2X + -42x = -9 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -8 + 2X + 4X + -42x = -9 + -4X + 4X Combine like terms: 2X + 4X = 6X -8 + 6X + -42x = -9 + -4X + 4X Combine like terms: -4X + 4X = 0 -8 + 6X + -42x = -9 + 0 -8 + 6X + -42x = -9 Add '8' to each side of the equation. -8 + 6X + 8 + -42x = -9 + 8 Reorder the terms: -8 + 8 + 6X + -42x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 6X + -42x = -9 + 8 6X + -42x = -9 + 8 Combine like terms: -9 + 8 = -1 6X + -42x = -1 Add '42x' to each side of the equation. 6X + -42x + 42x = -1 + 42x Combine like terms: -42x + 42x = 0 6X + 0 = -1 + 42x 6X = -1 + 42x Divide each side by '6'. X = -0.1666666667 + 7x Simplifying X = -0.1666666667 + 7x
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