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Simplifying 32 = 10 + 0.5(x + -28) Reorder the terms: 32 = 10 + 0.5(-28 + x) 32 = 10 + (-28 * 0.5 + x * 0.5) 32 = 10 + (-14 + 0.5x) Combine like terms: 10 + -14 = -4 32 = -4 + 0.5x Solving 32 = -4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 32 + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 32 + -0.5x = -4 + 0.0 32 + -0.5x = -4 Add '-32' to each side of the equation. 32 + -32 + -0.5x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -0.5x = -4 + -32 -0.5x = -4 + -32 Combine like terms: -4 + -32 = -36 -0.5x = -36 Divide each side by '-0.5'. x = 72 Simplifying x = 72
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