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Simplifying 12(4x + -10) = 32x + 24 Reorder the terms: 12(-10 + 4x) = 32x + 24 (-10 * 12 + 4x * 12) = 32x + 24 (-120 + 48x) = 32x + 24 Reorder the terms: -120 + 48x = 24 + 32x Solving -120 + 48x = 24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -120 + 48x + -32x = 24 + 32x + -32x Combine like terms: 48x + -32x = 16x -120 + 16x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 -120 + 16x = 24 + 0 -120 + 16x = 24 Add '120' to each side of the equation. -120 + 120 + 16x = 24 + 120 Combine like terms: -120 + 120 = 0 0 + 16x = 24 + 120 16x = 24 + 120 Combine like terms: 24 + 120 = 144 16x = 144 Divide each side by '16'. x = 9 Simplifying x = 9
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