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Simplifying 0.48x + -0.08x = 0.12(260 + -1x) Combine like terms: 0.48x + -0.08x = 0.4x 0.4x = 0.12(260 + -1x) 0.4x = (260 * 0.12 + -1x * 0.12) 0.4x = (31.2 + -0.12x) Solving 0.4x = 31.2 + -0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12x' to each side of the equation. 0.4x + 0.12x = 31.2 + -0.12x + 0.12x Combine like terms: 0.4x + 0.12x = 0.52x 0.52x = 31.2 + -0.12x + 0.12x Combine like terms: -0.12x + 0.12x = 0.00 0.52x = 31.2 + 0.00 0.52x = 31.2 Divide each side by '0.52'. x = 60 Simplifying x = 60
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