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Simplifying 3x + 27 = 3(2x + 4) Reorder the terms: 27 + 3x = 3(2x + 4) Reorder the terms: 27 + 3x = 3(4 + 2x) 27 + 3x = (4 * 3 + 2x * 3) 27 + 3x = (12 + 6x) Solving 27 + 3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = 12 + 0 27 + -3x = 12 Add '-27' to each side of the equation. 27 + -27 + -3x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 12 + -27 -3x = 12 + -27 Combine like terms: 12 + -27 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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