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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 = 5x -2 + 5x = 5(2x + -7) Reorder the terms: -2 + 5x = 5(-7 + 2x) -2 + 5x = (-7 * 5 + 2x * 5) -2 + 5x = (-35 + 10x) Solving -2 + 5x = -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 + 5x + -10x = -35 + 10x + -10x Combine like terms: 5x + -10x = -5x -2 + -5x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -5x = -35 + 0 -2 + -5x = -35 Add '2' to each side of the equation. -2 + 2 + -5x = -35 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -35 + 2 -5x = -35 + 2 Combine like terms: -35 + 2 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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