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Simplifying 0.12 = 0.0525 + 1.25(x + -0.0525) Reorder the terms: 0.12 = 0.0525 + 1.25(-0.0525 + x) 0.12 = 0.0525 + (-0.0525 * 1.25 + x * 1.25) 0.12 = 0.0525 + (-0.065625 + 1.25x) Combine like terms: 0.0525 + -0.065625 = -0.013125 0.12 = -0.013125 + 1.25x Solving 0.12 = -0.013125 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 0.12 + -1.25x = -0.013125 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 0.12 + -1.25x = -0.013125 + 0.00 0.12 + -1.25x = -0.013125 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -1.25x = -0.013125 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -1.25x = -0.013125 + -0.12 -1.25x = -0.013125 + -0.12 Combine like terms: -0.013125 + -0.12 = -0.133125 -1.25x = -0.133125 Divide each side by '-1.25'. x = 0.1065 Simplifying x = 0.1065
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