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Simplifying 11.50 = 0.10x + 0.25(25 + -1x) 11.50 = 0.10x + (25 * 0.25 + -1x * 0.25) 11.50 = 0.10x + (6.25 + -0.25x) Reorder the terms: 11.50 = 6.25 + 0.10x + -0.25x Combine like terms: 0.10x + -0.25x = -0.15x 11.50 = 6.25 + -0.15x Solving 11.50 = 6.25 + -0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15x' to each side of the equation. 11.50 + 0.15x = 6.25 + -0.15x + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 11.50 + 0.15x = 6.25 + 0.00 11.50 + 0.15x = 6.25 Add '-11.50' to each side of the equation. 11.50 + -11.50 + 0.15x = 6.25 + -11.50 Combine like terms: 11.50 + -11.50 = 0.00 0.00 + 0.15x = 6.25 + -11.50 0.15x = 6.25 + -11.50 Combine like terms: 6.25 + -11.50 = -5.25 0.15x = -5.25 Divide each side by '0.15'. x = -35 Simplifying x = -35
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