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Simplifying -2(5x + 7) + 3(x + -4) = 2(x + -2) + -3(4x + 1) Reorder the terms: -2(7 + 5x) + 3(x + -4) = 2(x + -2) + -3(4x + 1) (7 * -2 + 5x * -2) + 3(x + -4) = 2(x + -2) + -3(4x + 1) (-14 + -10x) + 3(x + -4) = 2(x + -2) + -3(4x + 1) Reorder the terms: -14 + -10x + 3(-4 + x) = 2(x + -2) + -3(4x + 1) -14 + -10x + (-4 * 3 + x * 3) = 2(x + -2) + -3(4x + 1) -14 + -10x + (-12 + 3x) = 2(x + -2) + -3(4x + 1) Reorder the terms: -14 + -12 + -10x + 3x = 2(x + -2) + -3(4x + 1) Combine like terms: -14 + -12 = -26 -26 + -10x + 3x = 2(x + -2) + -3(4x + 1) Combine like terms: -10x + 3x = -7x -26 + -7x = 2(x + -2) + -3(4x + 1) Reorder the terms: -26 + -7x = 2(-2 + x) + -3(4x + 1) -26 + -7x = (-2 * 2 + x * 2) + -3(4x + 1) -26 + -7x = (-4 + 2x) + -3(4x + 1) Reorder the terms: -26 + -7x = -4 + 2x + -3(1 + 4x) -26 + -7x = -4 + 2x + (1 * -3 + 4x * -3) -26 + -7x = -4 + 2x + (-3 + -12x) Reorder the terms: -26 + -7x = -4 + -3 + 2x + -12x Combine like terms: -4 + -3 = -7 -26 + -7x = -7 + 2x + -12x Combine like terms: 2x + -12x = -10x -26 + -7x = -7 + -10x Solving -26 + -7x = -7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -26 + -7x + 10x = -7 + -10x + 10x Combine like terms: -7x + 10x = 3x -26 + 3x = -7 + -10x + 10x Combine like terms: -10x + 10x = 0 -26 + 3x = -7 + 0 -26 + 3x = -7 Add '26' to each side of the equation. -26 + 26 + 3x = -7 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = -7 + 26 3x = -7 + 26 Combine like terms: -7 + 26 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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