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Simplifying 5(x + 6) = 10(x + -10) Reorder the terms: 5(6 + x) = 10(x + -10) (6 * 5 + x * 5) = 10(x + -10) (30 + 5x) = 10(x + -10) Reorder the terms: 30 + 5x = 10(-10 + x) 30 + 5x = (-10 * 10 + x * 10) 30 + 5x = (-100 + 10x) Solving 30 + 5x = -100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + 5x + -10x = -100 + 10x + -10x Combine like terms: 5x + -10x = -5x 30 + -5x = -100 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -5x = -100 + 0 30 + -5x = -100 Add '-30' to each side of the equation. 30 + -30 + -5x = -100 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -100 + -30 -5x = -100 + -30 Combine like terms: -100 + -30 = -130 -5x = -130 Divide each side by '-5'. x = 26 Simplifying x = 26
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