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Simplifying 3x + -2(x + -1) = 5(2x + -7) Reorder the terms: 3x + -2(-1 + x) = 5(2x + -7) 3x + (-1 * -2 + x * -2) = 5(2x + -7) 3x + (2 + -2x) = 5(2x + -7) Reorder the terms: 2 + 3x + -2x = 5(2x + -7) Combine like terms: 3x + -2x = 1x 2 + 1x = 5(2x + -7) Reorder the terms: 2 + 1x = 5(-7 + 2x) 2 + 1x = (-7 * 5 + 2x * 5) 2 + 1x = (-35 + 10x) Solving 2 + 1x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 1x + -10x = -35 + 10x + -10x Combine like terms: 1x + -10x = -9x 2 + -9x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -9x = -35 + 0 2 + -9x = -35 Add '-2' to each side of the equation. 2 + -2 + -9x = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -35 + -2 -9x = -35 + -2 Combine like terms: -35 + -2 = -37 -9x = -37 Divide each side by '-9'. x = 4.111111111 Simplifying x = 4.111111111
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