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Simplifying 4(3x + 2) = 5(2x + -7) + x Reorder the terms: 4(2 + 3x) = 5(2x + -7) + x (2 * 4 + 3x * 4) = 5(2x + -7) + x (8 + 12x) = 5(2x + -7) + x Reorder the terms: 8 + 12x = 5(-7 + 2x) + x 8 + 12x = (-7 * 5 + 2x * 5) + x 8 + 12x = (-35 + 10x) + x Combine like terms: 10x + x = 11x 8 + 12x = -35 + 11x Solving 8 + 12x = -35 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + 12x + -11x = -35 + 11x + -11x Combine like terms: 12x + -11x = 1x 8 + 1x = -35 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + 1x = -35 + 0 8 + 1x = -35 Add '-8' to each side of the equation. 8 + -8 + 1x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -35 + -8 1x = -35 + -8 Combine like terms: -35 + -8 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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