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