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