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Simplifying 10(x + 8) = 5(-9x + 5) Reorder the terms: 10(8 + x) = 5(-9x + 5) (8 * 10 + x * 10) = 5(-9x + 5) (80 + 10x) = 5(-9x + 5) Reorder the terms: 80 + 10x = 5(5 + -9x) 80 + 10x = (5 * 5 + -9x * 5) 80 + 10x = (25 + -45x) Solving 80 + 10x = 25 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 80 + 10x + 45x = 25 + -45x + 45x Combine like terms: 10x + 45x = 55x 80 + 55x = 25 + -45x + 45x Combine like terms: -45x + 45x = 0 80 + 55x = 25 + 0 80 + 55x = 25 Add '-80' to each side of the equation. 80 + -80 + 55x = 25 + -80 Combine like terms: 80 + -80 = 0 0 + 55x = 25 + -80 55x = 25 + -80 Combine like terms: 25 + -80 = -55 55x = -55 Divide each side by '55'. x = -1 Simplifying x = -1
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