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Simplifying 0.08 + 0.12(260 + -1x) = 0.48x 0.08 + (260 * 0.12 + -1x * 0.12) = 0.48x 0.08 + (31.2 + -0.12x) = 0.48x Combine like terms: 0.08 + 31.2 = 31.28 31.28 + -0.12x = 0.48x Solving 31.28 + -0.12x = 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 31.28 + -0.12x + -0.48x = 0.48x + -0.48x Combine like terms: -0.12x + -0.48x = -0.6x 31.28 + -0.6x = 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 31.28 + -0.6x = 0.00 Add '-31.28' to each side of the equation. 31.28 + -31.28 + -0.6x = 0.00 + -31.28 Combine like terms: 31.28 + -31.28 = 0.00 0.00 + -0.6x = 0.00 + -31.28 -0.6x = 0.00 + -31.28 Combine like terms: 0.00 + -31.28 = -31.28 -0.6x = -31.28 Divide each side by '-0.6'. x = 52.13333333 Simplifying x = 52.13333333
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