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Simplifying 0.128 = 0.141x + 0.117(1 + -1x) 0.128 = 0.141x + (1 * 0.117 + -1x * 0.117) 0.128 = 0.141x + (0.117 + -0.117x) Reorder the terms: 0.128 = 0.117 + 0.141x + -0.117x Combine like terms: 0.141x + -0.117x = 0.024x 0.128 = 0.117 + 0.024x Solving 0.128 = 0.117 + 0.024x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.024x' to each side of the equation. 0.128 + -0.024x = 0.117 + 0.024x + -0.024x Combine like terms: 0.024x + -0.024x = 0.000 0.128 + -0.024x = 0.117 + 0.000 0.128 + -0.024x = 0.117 Add '-0.128' to each side of the equation. 0.128 + -0.128 + -0.024x = 0.117 + -0.128 Combine like terms: 0.128 + -0.128 = 0.000 0.000 + -0.024x = 0.117 + -0.128 -0.024x = 0.117 + -0.128 Combine like terms: 0.117 + -0.128 = -0.011 -0.024x = -0.011 Divide each side by '-0.024'. x = 0.4583333333 Simplifying x = 0.4583333333
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