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Simplifying 3(x + 15) = 9(2 + x) Reorder the terms: 3(15 + x) = 9(2 + x) (15 * 3 + x * 3) = 9(2 + x) (45 + 3x) = 9(2 + x) 45 + 3x = (2 * 9 + x * 9) 45 + 3x = (18 + 9x) Solving 45 + 3x = 18 + 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. 45 + 3x + -9x = 18 + 9x + -9x Combine like terms: 3x + -9x = -6x 45 + -6x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -6x = 18 + 0 45 + -6x = 18 Add '-45' to each side of the equation. 45 + -45 + -6x = 18 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 18 + -45 -6x = 18 + -45 Combine like terms: 18 + -45 = -27 -6x = -27 Divide each side by '-6'. x = 4.5 Simplifying x = 4.5
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