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Simplifying 32x + 200 = 40(x + 2) Reorder the terms: 200 + 32x = 40(x + 2) Reorder the terms: 200 + 32x = 40(2 + x) 200 + 32x = (2 * 40 + x * 40) 200 + 32x = (80 + 40x) Solving 200 + 32x = 80 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 200 + 32x + -40x = 80 + 40x + -40x Combine like terms: 32x + -40x = -8x 200 + -8x = 80 + 40x + -40x Combine like terms: 40x + -40x = 0 200 + -8x = 80 + 0 200 + -8x = 80 Add '-200' to each side of the equation. 200 + -200 + -8x = 80 + -200 Combine like terms: 200 + -200 = 0 0 + -8x = 80 + -200 -8x = 80 + -200 Combine like terms: 80 + -200 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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