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Simplifying x + -0.43x + 0.28 = 0.71(x + 0.75) Reorder the terms: 0.28 + x + -0.43x = 0.71(x + 0.75) Combine like terms: x + -0.43x = 0.57x 0.28 + 0.57x = 0.71(x + 0.75) Reorder the terms: 0.28 + 0.57x = 0.71(0.75 + x) 0.28 + 0.57x = (0.75 * 0.71 + x * 0.71) 0.28 + 0.57x = (0.5325 + 0.71x) Solving 0.28 + 0.57x = 0.5325 + 0.71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.71x' to each side of the equation. 0.28 + 0.57x + -0.71x = 0.5325 + 0.71x + -0.71x Combine like terms: 0.57x + -0.71x = -0.14x 0.28 + -0.14x = 0.5325 + 0.71x + -0.71x Combine like terms: 0.71x + -0.71x = 0.00 0.28 + -0.14x = 0.5325 + 0.00 0.28 + -0.14x = 0.5325 Add '-0.28' to each side of the equation. 0.28 + -0.28 + -0.14x = 0.5325 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.14x = 0.5325 + -0.28 -0.14x = 0.5325 + -0.28 Combine like terms: 0.5325 + -0.28 = 0.2525 -0.14x = 0.2525 Divide each side by '-0.14'. x = -1.803571429 Simplifying x = -1.803571429
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