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Simplifying 0.08x + 0.12(260 + -1x) = 0.48x 0.08x + (260 * 0.12 + -1x * 0.12) = 0.48x 0.08x + (31.2 + -0.12x) = 0.48x Reorder the terms: 31.2 + 0.08x + -0.12x = 0.48x Combine like terms: 0.08x + -0.12x = -0.04x 31.2 + -0.04x = 0.48x Solving 31.2 + -0.04x = 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. 31.2 + -0.04x + -0.48x = 0.48x + -0.48x Combine like terms: -0.04x + -0.48x = -0.52x 31.2 + -0.52x = 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 31.2 + -0.52x = 0.00 Add '-31.2' to each side of the equation. 31.2 + -31.2 + -0.52x = 0.00 + -31.2 Combine like terms: 31.2 + -31.2 = 0.0 0.0 + -0.52x = 0.00 + -31.2 -0.52x = 0.00 + -31.2 Combine like terms: 0.00 + -31.2 = -31.2 -0.52x = -31.2 Divide each side by '-0.52'. x = 60 Simplifying x = 60
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