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Simplifying 2(x + -2) + 4(x + -3) = 3 + -1(3x + 1) Reorder the terms: 2(-2 + x) + 4(x + -3) = 3 + -1(3x + 1) (-2 * 2 + x * 2) + 4(x + -3) = 3 + -1(3x + 1) (-4 + 2x) + 4(x + -3) = 3 + -1(3x + 1) Reorder the terms: -4 + 2x + 4(-3 + x) = 3 + -1(3x + 1) -4 + 2x + (-3 * 4 + x * 4) = 3 + -1(3x + 1) -4 + 2x + (-12 + 4x) = 3 + -1(3x + 1) Reorder the terms: -4 + -12 + 2x + 4x = 3 + -1(3x + 1) Combine like terms: -4 + -12 = -16 -16 + 2x + 4x = 3 + -1(3x + 1) Combine like terms: 2x + 4x = 6x -16 + 6x = 3 + -1(3x + 1) Reorder the terms: -16 + 6x = 3 + -1(1 + 3x) -16 + 6x = 3 + (1 * -1 + 3x * -1) -16 + 6x = 3 + (-1 + -3x) Combine like terms: 3 + -1 = 2 -16 + 6x = 2 + -3x Solving -16 + 6x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 6x + 3x = 2 + -3x + 3x Combine like terms: 6x + 3x = 9x -16 + 9x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 9x = 2 + 0 -16 + 9x = 2 Add '16' to each side of the equation. -16 + 16 + 9x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 2 + 16 9x = 2 + 16 Combine like terms: 2 + 16 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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