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Simplifying 5(x + 6) = 2(x + -7) Reorder the terms: 5(6 + x) = 2(x + -7) (6 * 5 + x * 5) = 2(x + -7) (30 + 5x) = 2(x + -7) Reorder the terms: 30 + 5x = 2(-7 + x) 30 + 5x = (-7 * 2 + x * 2) 30 + 5x = (-14 + 2x) Solving 30 + 5x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x 30 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 3x = -14 + 0 30 + 3x = -14 Add '-30' to each side of the equation. 30 + -30 + 3x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = -14 + -30 3x = -14 + -30 Combine like terms: -14 + -30 = -44 3x = -44 Divide each side by '3'. x = -14.66666667 Simplifying x = -14.66666667
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