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Simplifying -4(x + 1) = 3(2 + -1x) Reorder the terms: -4(1 + x) = 3(2 + -1x) (1 * -4 + x * -4) = 3(2 + -1x) (-4 + -4x) = 3(2 + -1x) -4 + -4x = (2 * 3 + -1x * 3) -4 + -4x = (6 + -3x) Solving -4 + -4x = 6 + -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. -4 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -4 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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