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Simplifying 52 + -17 = 5(x + -9) Combine like terms: 52 + -17 = 35 35 = 5(x + -9) Reorder the terms: 35 = 5(-9 + x) 35 = (-9 * 5 + x * 5) 35 = (-45 + 5x) Solving 35 = -45 + 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 = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -5x = -45 + 0 35 + -5x = -45 Add '-35' to each side of the equation. 35 + -35 + -5x = -45 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -45 + -35 -5x = -45 + -35 Combine like terms: -45 + -35 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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