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Simplifying 5(x + 9) = 2(x + 6) Reorder the terms: 5(9 + x) = 2(x + 6) (9 * 5 + x * 5) = 2(x + 6) (45 + 5x) = 2(x + 6) Reorder the terms: 45 + 5x = 2(6 + x) 45 + 5x = (6 * 2 + x * 2) 45 + 5x = (12 + 2x) Solving 45 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x 45 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 3x = 12 + 0 45 + 3x = 12 Add '-45' to each side of the equation. 45 + -45 + 3x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 12 + -45 3x = 12 + -45 Combine like terms: 12 + -45 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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