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Simplifying 32 = x + 0.5x + 0.2(0.5x) Remove parenthesis around (0.5x) 32 = x + 0.5x + 0.2 * 0.5x Multiply 0.2 * 0.5 32 = x + 0.5x + 0.1x Combine like terms: x + 0.5x = 1.5x 32 = 1.5x + 0.1x Combine like terms: 1.5x + 0.1x = 1.6x 32 = 1.6x Solving 32 = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 32 + -1.6x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 32 + -1.6x = 0.0 Add '-32' to each side of the equation. 32 + -32 + -1.6x = 0.0 + -32 Combine like terms: 32 + -32 = 0 0 + -1.6x = 0.0 + -32 -1.6x = 0.0 + -32 Combine like terms: 0.0 + -32 = -32 -1.6x = -32 Divide each side by '-1.6'. x = 20 Simplifying x = 20
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