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Simplifying -5(2x + -7) + 24 = 89 Reorder the terms: -5(-7 + 2x) + 24 = 89 (-7 * -5 + 2x * -5) + 24 = 89 (35 + -10x) + 24 = 89 Reorder the terms: 35 + 24 + -10x = 89 Combine like terms: 35 + 24 = 59 59 + -10x = 89 Solving 59 + -10x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -10x = 89 + -59 Combine like terms: 59 + -59 = 0 0 + -10x = 89 + -59 -10x = 89 + -59 Combine like terms: 89 + -59 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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