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Simplifying 2x + -3(x + 1) = -2(x + -1) Reorder the terms: 2x + -3(1 + x) = -2(x + -1) 2x + (1 * -3 + x * -3) = -2(x + -1) 2x + (-3 + -3x) = -2(x + -1) Reorder the terms: -3 + 2x + -3x = -2(x + -1) Combine like terms: 2x + -3x = -1x -3 + -1x = -2(x + -1) Reorder the terms: -3 + -1x = -2(-1 + x) -3 + -1x = (-1 * -2 + x * -2) -3 + -1x = (2 + -2x) Solving -3 + -1x = 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 + -1x + 2x = 2 + -2x + 2x Combine like terms: -1x + 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 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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