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Simplifying 2(3x + 5) = 4x + 24 Reorder the terms: 2(5 + 3x) = 4x + 24 (5 * 2 + 3x * 2) = 4x + 24 (10 + 6x) = 4x + 24 Reorder the terms: 10 + 6x = 24 + 4x Solving 10 + 6x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 6x + -4x = 24 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = 24 + 0 10 + 2x = 24 Add '-10' to each side of the equation. 10 + -10 + 2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 24 + -10 2x = 24 + -10 Combine like terms: 24 + -10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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