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Simplifying 3(x + 6) + 3(x + 24) = 12 Reorder the terms: 3(6 + x) + 3(x + 24) = 12 (6 * 3 + x * 3) + 3(x + 24) = 12 (18 + 3x) + 3(x + 24) = 12 Reorder the terms: 18 + 3x + 3(24 + x) = 12 18 + 3x + (24 * 3 + x * 3) = 12 18 + 3x + (72 + 3x) = 12 Reorder the terms: 18 + 72 + 3x + 3x = 12 Combine like terms: 18 + 72 = 90 90 + 3x + 3x = 12 Combine like terms: 3x + 3x = 6x 90 + 6x = 12 Solving 90 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 6x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 12 + -90 6x = 12 + -90 Combine like terms: 12 + -90 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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