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Simplifying -12 + 52 = -5(x + 5) Combine like terms: -12 + 52 = 40 40 = -5(x + 5) Reorder the terms: 40 = -5(5 + x) 40 = (5 * -5 + x * -5) 40 = (-25 + -5x) Solving 40 = -25 + -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. 40 + 5x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 5x = -25 + 0 40 + 5x = -25 Add '-40' to each side of the equation. 40 + -40 + 5x = -25 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = -25 + -40 5x = -25 + -40 Combine like terms: -25 + -40 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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