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Simplifying 5(x + 9) = 10(x + -2) Reorder the terms: 5(9 + x) = 10(x + -2) (9 * 5 + x * 5) = 10(x + -2) (45 + 5x) = 10(x + -2) Reorder the terms: 45 + 5x = 10(-2 + x) 45 + 5x = (-2 * 10 + x * 10) 45 + 5x = (-20 + 10x) Solving 45 + 5x = -20 + 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. 45 + 5x + -10x = -20 + 10x + -10x Combine like terms: 5x + -10x = -5x 45 + -5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -5x = -20 + 0 45 + -5x = -20 Add '-45' to each side of the equation. 45 + -45 + -5x = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = -20 + -45 -5x = -20 + -45 Combine like terms: -20 + -45 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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