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Simplifying 2(2x + 5) = 3(3x + 24) Reorder the terms: 2(5 + 2x) = 3(3x + 24) (5 * 2 + 2x * 2) = 3(3x + 24) (10 + 4x) = 3(3x + 24) Reorder the terms: 10 + 4x = 3(24 + 3x) 10 + 4x = (24 * 3 + 3x * 3) 10 + 4x = (72 + 9x) Solving 10 + 4x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 4x + -9x = 72 + 9x + -9x Combine like terms: 4x + -9x = -5x 10 + -5x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -5x = 72 + 0 10 + -5x = 72 Add '-10' to each side of the equation. 10 + -10 + -5x = 72 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 72 + -10 -5x = 72 + -10 Combine like terms: 72 + -10 = 62 -5x = 62 Divide each side by '-5'. x = -12.4 Simplifying x = -12.4
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