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Simplifying 27 + -12 = 5(x + -7) Combine like terms: 27 + -12 = 15 15 = 5(x + -7) Reorder the terms: 15 = 5(-7 + x) 15 = (-7 * 5 + x * 5) 15 = (-35 + 5x) Solving 15 = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -5x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -5x = -35 + 0 15 + -5x = -35 Add '-15' to each side of the equation. 15 + -15 + -5x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -35 + -15 -5x = -35 + -15 Combine like terms: -35 + -15 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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