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Simplifying 15 = 10 + 0.5(x + -28) Reorder the terms: 15 = 10 + 0.5(-28 + x) 15 = 10 + (-28 * 0.5 + x * 0.5) 15 = 10 + (-14 + 0.5x) Combine like terms: 10 + -14 = -4 15 = -4 + 0.5x Solving 15 = -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. 15 + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + -0.5x = -4 + 0.0 15 + -0.5x = -4 Add '-15' to each side of the equation. 15 + -15 + -0.5x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5x = -4 + -15 -0.5x = -4 + -15 Combine like terms: -4 + -15 = -19 -0.5x = -19 Divide each side by '-0.5'. x = 38 Simplifying x = 38
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