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Simplifying 69 = x + 0.5(x + -6) Reorder the terms: 69 = x + 0.5(-6 + x) 69 = x + (-6 * 0.5 + x * 0.5) 69 = x + (-3 + 0.5x) Reorder the terms: 69 = -3 + x + 0.5x Combine like terms: x + 0.5x = 1.5x 69 = -3 + 1.5x Solving 69 = -3 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 69 + -1.5x = -3 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 69 + -1.5x = -3 + 0.0 69 + -1.5x = -3 Add '-69' to each side of the equation. 69 + -69 + -1.5x = -3 + -69 Combine like terms: 69 + -69 = 0 0 + -1.5x = -3 + -69 -1.5x = -3 + -69 Combine like terms: -3 + -69 = -72 -1.5x = -72 Divide each side by '-1.5'. x = 48 Simplifying x = 48
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