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Simplifying 3(x + 1) + -5x = 2(6x + -7) Reorder the terms: 3(1 + x) + -5x = 2(6x + -7) (1 * 3 + x * 3) + -5x = 2(6x + -7) (3 + 3x) + -5x = 2(6x + -7) Combine like terms: 3x + -5x = -2x 3 + -2x = 2(6x + -7) Reorder the terms: 3 + -2x = 2(-7 + 6x) 3 + -2x = (-7 * 2 + 6x * 2) 3 + -2x = (-14 + 12x) Solving 3 + -2x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -2x + -12x = -14 + 12x + -12x Combine like terms: -2x + -12x = -14x 3 + -14x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -14x = -14 + 0 3 + -14x = -14 Add '-3' to each side of the equation. 3 + -3 + -14x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = -14 + -3 -14x = -14 + -3 Combine like terms: -14 + -3 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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