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Simplifying 3x + -2(x + -1) = 2x + -3(x + -4) Reorder the terms: 3x + -2(-1 + x) = 2x + -3(x + -4) 3x + (-1 * -2 + x * -2) = 2x + -3(x + -4) 3x + (2 + -2x) = 2x + -3(x + -4) Reorder the terms: 2 + 3x + -2x = 2x + -3(x + -4) Combine like terms: 3x + -2x = 1x 2 + 1x = 2x + -3(x + -4) Reorder the terms: 2 + 1x = 2x + -3(-4 + x) 2 + 1x = 2x + (-4 * -3 + x * -3) 2 + 1x = 2x + (12 + -3x) Reorder the terms: 2 + 1x = 12 + 2x + -3x Combine like terms: 2x + -3x = -1x 2 + 1x = 12 + -1x Solving 2 + 1x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 1x + x = 12 + -1x + x Combine like terms: 1x + x = 2x 2 + 2x = 12 + -1x + x Combine like terms: -1x + x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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