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Simplifying 42 + -12 = 5(x + -7) Combine like terms: 42 + -12 = 30 30 = 5(x + -7) Reorder the terms: 30 = 5(-7 + x) 30 = (-7 * 5 + x * 5) 30 = (-35 + 5x) Solving 30 = -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. 30 + -5x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -5x = -35 + 0 30 + -5x = -35 Add '-30' to each side of the equation. 30 + -30 + -5x = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -35 + -30 -5x = -35 + -30 Combine like terms: -35 + -30 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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