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Simplifying -12(x + -6) + -5x = 5(x + 10) Reorder the terms: -12(-6 + x) + -5x = 5(x + 10) (-6 * -12 + x * -12) + -5x = 5(x + 10) (72 + -12x) + -5x = 5(x + 10) Combine like terms: -12x + -5x = -17x 72 + -17x = 5(x + 10) Reorder the terms: 72 + -17x = 5(10 + x) 72 + -17x = (10 * 5 + x * 5) 72 + -17x = (50 + 5x) Solving 72 + -17x = 50 + 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. 72 + -17x + -5x = 50 + 5x + -5x Combine like terms: -17x + -5x = -22x 72 + -22x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 72 + -22x = 50 + 0 72 + -22x = 50 Add '-72' to each side of the equation. 72 + -72 + -22x = 50 + -72 Combine like terms: 72 + -72 = 0 0 + -22x = 50 + -72 -22x = 50 + -72 Combine like terms: 50 + -72 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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