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Simplifying 24 + 3(4 + -2) * 2 * 2(2x + 5) = 0 Combine like terms: 4 + -2 = 2 24 + 3(2) * 2 * 2(2x + 5) = 0 Reorder the terms: 24 + 3 * 2 * 2 * 2(5 + 2x) = 0 Multiply 3 * 2 24 + 6 * 2 * 2(5 + 2x) = 0 Multiply 6 * 2 24 + 12 * 2(5 + 2x) = 0 Multiply 12 * 2 24 + 24(5 + 2x) = 0 24 + (5 * 24 + 2x * 24) = 0 24 + (120 + 48x) = 0 Combine like terms: 24 + 120 = 144 144 + 48x = 0 Solving 144 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + 48x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 48x = 0 + -144 48x = 0 + -144 Combine like terms: 0 + -144 = -144 48x = -144 Divide each side by '48'. x = -3 Simplifying x = -3
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