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Simplifying -1(x + 3) = 4(x + -2) Reorder the terms: -1(3 + x) = 4(x + -2) (3 * -1 + x * -1) = 4(x + -2) (-3 + -1x) = 4(x + -2) Reorder the terms: -3 + -1x = 4(-2 + x) -3 + -1x = (-2 * 4 + x * 4) -3 + -1x = (-8 + 4x) Solving -3 + -1x = -8 + 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. -3 + -1x + -4x = -8 + 4x + -4x Combine like terms: -1x + -4x = -5x -3 + -5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -5x = -8 + 0 -3 + -5x = -8 Add '3' to each side of the equation. -3 + 3 + -5x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -8 + 3 -5x = -8 + 3 Combine like terms: -8 + 3 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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