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Simplifying 0.13(-4x + 2) = 0.05x + 6 Reorder the terms: 0.13(2 + -4x) = 0.05x + 6 (2 * 0.13 + -4x * 0.13) = 0.05x + 6 (0.26 + -0.52x) = 0.05x + 6 Reorder the terms: 0.26 + -0.52x = 6 + 0.05x Solving 0.26 + -0.52x = 6 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.26 + -0.52x + -0.05x = 6 + 0.05x + -0.05x Combine like terms: -0.52x + -0.05x = -0.57x 0.26 + -0.57x = 6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.26 + -0.57x = 6 + 0.00 0.26 + -0.57x = 6 Add '-0.26' to each side of the equation. 0.26 + -0.26 + -0.57x = 6 + -0.26 Combine like terms: 0.26 + -0.26 = 0.00 0.00 + -0.57x = 6 + -0.26 -0.57x = 6 + -0.26 Combine like terms: 6 + -0.26 = 5.74 -0.57x = 5.74 Divide each side by '-0.57'. x = -10.07017544 Simplifying x = -10.07017544
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