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Simplifying 3(3x + 5) = 3(7 + -1x) Reorder the terms: 3(5 + 3x) = 3(7 + -1x) (5 * 3 + 3x * 3) = 3(7 + -1x) (15 + 9x) = 3(7 + -1x) 15 + 9x = (7 * 3 + -1x * 3) 15 + 9x = (21 + -3x) Solving 15 + 9x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 9x + 3x = 21 + -3x + 3x Combine like terms: 9x + 3x = 12x 15 + 12x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 12x = 21 + 0 15 + 12x = 21 Add '-15' to each side of the equation. 15 + -15 + 12x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 21 + -15 12x = 21 + -15 Combine like terms: 21 + -15 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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