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Simplifying 3x + -2(x + -1) = 3(x + 5) Reorder the terms: 3x + -2(-1 + x) = 3(x + 5) 3x + (-1 * -2 + x * -2) = 3(x + 5) 3x + (2 + -2x) = 3(x + 5) Reorder the terms: 2 + 3x + -2x = 3(x + 5) Combine like terms: 3x + -2x = 1x 2 + 1x = 3(x + 5) Reorder the terms: 2 + 1x = 3(5 + x) 2 + 1x = (5 * 3 + x * 3) 2 + 1x = (15 + 3x) Solving 2 + 1x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 1x + -3x = 15 + 3x + -3x Combine like terms: 1x + -3x = -2x 2 + -2x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = 15 + 0 2 + -2x = 15 Add '-2' to each side of the equation. 2 + -2 + -2x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 15 + -2 -2x = 15 + -2 Combine like terms: 15 + -2 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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