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Simplifying 2(4x + 5) + -10 = 4(2x + -3) * 12 Reorder the terms: 2(5 + 4x) + -10 = 4(2x + -3) * 12 (5 * 2 + 4x * 2) + -10 = 4(2x + -3) * 12 (10 + 8x) + -10 = 4(2x + -3) * 12 Reorder the terms: 10 + -10 + 8x = 4(2x + -3) * 12 Combine like terms: 10 + -10 = 0 0 + 8x = 4(2x + -3) * 12 8x = 4(2x + -3) * 12 Reorder the terms: 8x = 4(-3 + 2x) * 12 Reorder the terms for easier multiplication: 8x = 4 * 12(-3 + 2x) Multiply 4 * 12 8x = 48(-3 + 2x) 8x = (-3 * 48 + 2x * 48) 8x = (-144 + 96x) Solving 8x = -144 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 8x + -96x = -144 + 96x + -96x Combine like terms: 8x + -96x = -88x -88x = -144 + 96x + -96x Combine like terms: 96x + -96x = 0 -88x = -144 + 0 -88x = -144 Divide each side by '-88'. x = 1.636363636 Simplifying x = 1.636363636
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