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Simplifying 0.15 = x + [1.259(0.14 + -1x)] 0.15 = x + [(0.14 * 1.259 + -1x * 1.259)] 0.15 = x + [(0.17626 + -1.259x)] 0.15 = x + [0.17626 + -1.259x] Remove brackets around [0.17626 + -1.259x] 0.15 = x + 0.17626 + -1.259x Reorder the terms: 0.15 = 0.17626 + x + -1.259x Combine like terms: x + -1.259x = -0.259x 0.15 = 0.17626 + -0.259x Solving 0.15 = 0.17626 + -0.259x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.259x' to each side of the equation. 0.15 + 0.259x = 0.17626 + -0.259x + 0.259x Combine like terms: -0.259x + 0.259x = 0.000 0.15 + 0.259x = 0.17626 + 0.000 0.15 + 0.259x = 0.17626 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.259x = 0.17626 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.259x = 0.17626 + -0.15 0.259x = 0.17626 + -0.15 Combine like terms: 0.17626 + -0.15 = 0.02626 0.259x = 0.02626 Divide each side by '0.259'. x = 0.1013899614 Simplifying x = 0.1013899614
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