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Simplifying -3x + 32 = 2(4x + 5) Reorder the terms: 32 + -3x = 2(4x + 5) Reorder the terms: 32 + -3x = 2(5 + 4x) 32 + -3x = (5 * 2 + 4x * 2) 32 + -3x = (10 + 8x) Solving 32 + -3x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + -3x + -8x = 10 + 8x + -8x Combine like terms: -3x + -8x = -11x 32 + -11x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -11x = 10 + 0 32 + -11x = 10 Add '-32' to each side of the equation. 32 + -32 + -11x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + -11x = 10 + -32 -11x = 10 + -32 Combine like terms: 10 + -32 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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