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Simplifying 0.13 = 0.15x + 0.07(1 + -1x) 0.13 = 0.15x + (1 * 0.07 + -1x * 0.07) 0.13 = 0.15x + (0.07 + -0.07x) Reorder the terms: 0.13 = 0.07 + 0.15x + -0.07x Combine like terms: 0.15x + -0.07x = 0.08x 0.13 = 0.07 + 0.08x Solving 0.13 = 0.07 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 0.13 + -0.08x = 0.07 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.13 + -0.08x = 0.07 + 0.00 0.13 + -0.08x = 0.07 Add '-0.13' to each side of the equation. 0.13 + -0.13 + -0.08x = 0.07 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + -0.08x = 0.07 + -0.13 -0.08x = 0.07 + -0.13 Combine like terms: 0.07 + -0.13 = -0.06 -0.08x = -0.06 Divide each side by '-0.08'. x = 0.75 Simplifying x = 0.75
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