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Simplifying 2(3x + 24) + 3(x + 30) = 156 Reorder the terms: 2(24 + 3x) + 3(x + 30) = 156 (24 * 2 + 3x * 2) + 3(x + 30) = 156 (48 + 6x) + 3(x + 30) = 156 Reorder the terms: 48 + 6x + 3(30 + x) = 156 48 + 6x + (30 * 3 + x * 3) = 156 48 + 6x + (90 + 3x) = 156 Reorder the terms: 48 + 90 + 6x + 3x = 156 Combine like terms: 48 + 90 = 138 138 + 6x + 3x = 156 Combine like terms: 6x + 3x = 9x 138 + 9x = 156 Solving 138 + 9x = 156 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + 9x = 156 + -138 Combine like terms: 138 + -138 = 0 0 + 9x = 156 + -138 9x = 156 + -138 Combine like terms: 156 + -138 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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