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Simplifying 3(2x + 5) = 3x + 27 Reorder the terms: 3(5 + 2x) = 3x + 27 (5 * 3 + 2x * 3) = 3x + 27 (15 + 6x) = 3x + 27 Reorder the terms: 15 + 6x = 27 + 3x Solving 15 + 6x = 27 + 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 + 6x + -3x = 27 + 3x + -3x Combine like terms: 6x + -3x = 3x 15 + 3x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 3x = 27 + 0 15 + 3x = 27 Add '-15' to each side of the equation. 15 + -15 + 3x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 27 + -15 3x = 27 + -15 Combine like terms: 27 + -15 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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