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Simplifying 3(x + 24) + 3(x + 30) = 24 Reorder the terms: 3(24 + x) + 3(x + 30) = 24 (24 * 3 + x * 3) + 3(x + 30) = 24 (72 + 3x) + 3(x + 30) = 24 Reorder the terms: 72 + 3x + 3(30 + x) = 24 72 + 3x + (30 * 3 + x * 3) = 24 72 + 3x + (90 + 3x) = 24 Reorder the terms: 72 + 90 + 3x + 3x = 24 Combine like terms: 72 + 90 = 162 162 + 3x + 3x = 24 Combine like terms: 3x + 3x = 6x 162 + 6x = 24 Solving 162 + 6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + -162 + 6x = 24 + -162 Combine like terms: 162 + -162 = 0 0 + 6x = 24 + -162 6x = 24 + -162 Combine like terms: 24 + -162 = -138 6x = -138 Divide each side by '6'. x = -23 Simplifying x = -23
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