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Simplifying 3(5 + 2x) = 9(5 + 1x) (5 * 3 + 2x * 3) = 9(5 + 1x) (15 + 6x) = 9(5 + 1x) 15 + 6x = (5 * 9 + 1x * 9) 15 + 6x = (45 + 9x) Solving 15 + 6x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 6x + -9x = 45 + 9x + -9x Combine like terms: 6x + -9x = -3x 15 + -3x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -3x = 45 + 0 15 + -3x = 45 Add '-15' to each side of the equation. 15 + -15 + -3x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 45 + -15 -3x = 45 + -15 Combine like terms: 45 + -15 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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