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Simplifying 3(x + 1) + -5x = 12(6x + -7) Reorder the terms: 3(1 + x) + -5x = 12(6x + -7) (1 * 3 + x * 3) + -5x = 12(6x + -7) (3 + 3x) + -5x = 12(6x + -7) Combine like terms: 3x + -5x = -2x 3 + -2x = 12(6x + -7) Reorder the terms: 3 + -2x = 12(-7 + 6x) 3 + -2x = (-7 * 12 + 6x * 12) 3 + -2x = (-84 + 72x) Solving 3 + -2x = -84 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 3 + -2x + -72x = -84 + 72x + -72x Combine like terms: -2x + -72x = -74x 3 + -74x = -84 + 72x + -72x Combine like terms: 72x + -72x = 0 3 + -74x = -84 + 0 3 + -74x = -84 Add '-3' to each side of the equation. 3 + -3 + -74x = -84 + -3 Combine like terms: 3 + -3 = 0 0 + -74x = -84 + -3 -74x = -84 + -3 Combine like terms: -84 + -3 = -87 -74x = -87 Divide each side by '-74'. x = 1.175675676 Simplifying x = 1.175675676
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