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Simplifying 260 = 70(x + 1) + 55x Reorder the terms: 260 = 70(1 + x) + 55x 260 = (1 * 70 + x * 70) + 55x 260 = (70 + 70x) + 55x Combine like terms: 70x + 55x = 125x 260 = 70 + 125x Solving 260 = 70 + 125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125x' to each side of the equation. 260 + -125x = 70 + 125x + -125x Combine like terms: 125x + -125x = 0 260 + -125x = 70 + 0 260 + -125x = 70 Add '-260' to each side of the equation. 260 + -260 + -125x = 70 + -260 Combine like terms: 260 + -260 = 0 0 + -125x = 70 + -260 -125x = 70 + -260 Combine like terms: 70 + -260 = -190 -125x = -190 Divide each side by '-125'. x = 1.52 Simplifying x = 1.52
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