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Simplifying -1x + 68 = 0.5(x + 5) Reorder the terms: 68 + -1x = 0.5(x + 5) Reorder the terms: 68 + -1x = 0.5(5 + x) 68 + -1x = (5 * 0.5 + x * 0.5) 68 + -1x = (2.5 + 0.5x) Solving 68 + -1x = 2.5 + 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. 68 + -1x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 68 + -1.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 68 + -1.5x = 2.5 + 0.0 68 + -1.5x = 2.5 Add '-68' to each side of the equation. 68 + -68 + -1.5x = 2.5 + -68 Combine like terms: 68 + -68 = 0 0 + -1.5x = 2.5 + -68 -1.5x = 2.5 + -68 Combine like terms: 2.5 + -68 = -65.5 -1.5x = -65.5 Divide each side by '-1.5'. x = 43.66666667 Simplifying x = 43.66666667
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