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Simplifying 3(x + -1) + -4x = 5 + -2(x + -1) Reorder the terms: 3(-1 + x) + -4x = 5 + -2(x + -1) (-1 * 3 + x * 3) + -4x = 5 + -2(x + -1) (-3 + 3x) + -4x = 5 + -2(x + -1) Combine like terms: 3x + -4x = -1x -3 + -1x = 5 + -2(x + -1) Reorder the terms: -3 + -1x = 5 + -2(-1 + x) -3 + -1x = 5 + (-1 * -2 + x * -2) -3 + -1x = 5 + (2 + -2x) Combine like terms: 5 + 2 = 7 -3 + -1x = 7 + -2x Solving -3 + -1x = 7 + -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 = 7 + -2x + 2x Combine like terms: -1x + 2x = 1x -3 + 1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 1x = 7 + 0 -3 + 1x = 7 Add '3' to each side of the equation. -3 + 3 + 1x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 7 + 3 1x = 7 + 3 Combine like terms: 7 + 3 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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