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Simplifying 10 + 5x = -5(x + -8) Reorder the terms: 10 + 5x = -5(-8 + x) 10 + 5x = (-8 * -5 + x * -5) 10 + 5x = (40 + -5x) Solving 10 + 5x = 40 + -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. 10 + 5x + 5x = 40 + -5x + 5x Combine like terms: 5x + 5x = 10x 10 + 10x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 10x = 40 + 0 10 + 10x = 40 Add '-10' to each side of the equation. 10 + -10 + 10x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 40 + -10 10x = 40 + -10 Combine like terms: 40 + -10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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