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Simplifying 47 + -12 = 5(x + -7) Combine like terms: 47 + -12 = 35 35 = 5(x + -7) Reorder the terms: 35 = 5(-7 + x) 35 = (-7 * 5 + x * 5) 35 = (-35 + 5x) Solving 35 = -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. 35 + -5x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -5x = -35 + 0 35 + -5x = -35 Add '-35' to each side of the equation. 35 + -35 + -5x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -35 + -35 -5x = -35 + -35 Combine like terms: -35 + -35 = -70 -5x = -70 Divide each side by '-5'. x = 14 Simplifying x = 14
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