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Simplifying x + -0.428x + 0.5 = -1.33(x + -0.28) Reorder the terms: 0.5 + x + -0.428x = -1.33(x + -0.28) Combine like terms: x + -0.428x = 0.572x 0.5 + 0.572x = -1.33(x + -0.28) Reorder the terms: 0.5 + 0.572x = -1.33(-0.28 + x) 0.5 + 0.572x = (-0.28 * -1.33 + x * -1.33) 0.5 + 0.572x = (0.3724 + -1.33x) Solving 0.5 + 0.572x = 0.3724 + -1.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.33x' to each side of the equation. 0.5 + 0.572x + 1.33x = 0.3724 + -1.33x + 1.33x Combine like terms: 0.572x + 1.33x = 1.902x 0.5 + 1.902x = 0.3724 + -1.33x + 1.33x Combine like terms: -1.33x + 1.33x = 0.00 0.5 + 1.902x = 0.3724 + 0.00 0.5 + 1.902x = 0.3724 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.902x = 0.3724 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.902x = 0.3724 + -0.5 1.902x = 0.3724 + -0.5 Combine like terms: 0.3724 + -0.5 = -0.1276 1.902x = -0.1276 Divide each side by '1.902'. x = -0.06708727655 Simplifying x = -0.06708727655
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