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Simplifying 3(x + 5) = 9(x + 1) Reorder the terms: 3(5 + x) = 9(x + 1) (5 * 3 + x * 3) = 9(x + 1) (15 + 3x) = 9(x + 1) Reorder the terms: 15 + 3x = 9(1 + x) 15 + 3x = (1 * 9 + x * 9) 15 + 3x = (9 + 9x) Solving 15 + 3x = 9 + 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 + 3x + -9x = 9 + 9x + -9x Combine like terms: 3x + -9x = -6x 15 + -6x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -6x = 9 + 0 15 + -6x = 9 Add '-15' to each side of the equation. 15 + -15 + -6x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 9 + -15 -6x = 9 + -15 Combine like terms: 9 + -15 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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