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Simplifying 12(3x + 10) = 32x + 10 Reorder the terms: 12(10 + 3x) = 32x + 10 (10 * 12 + 3x * 12) = 32x + 10 (120 + 36x) = 32x + 10 Reorder the terms: 120 + 36x = 10 + 32x Solving 120 + 36x = 10 + 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 + 36x + -32x = 10 + 32x + -32x Combine like terms: 36x + -32x = 4x 120 + 4x = 10 + 32x + -32x Combine like terms: 32x + -32x = 0 120 + 4x = 10 + 0 120 + 4x = 10 Add '-120' to each side of the equation. 120 + -120 + 4x = 10 + -120 Combine like terms: 120 + -120 = 0 0 + 4x = 10 + -120 4x = 10 + -120 Combine like terms: 10 + -120 = -110 4x = -110 Divide each side by '4'. x = -27.5 Simplifying x = -27.5
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