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Simplifying 113(-4x + 2) = 0.05x + 6 Reorder the terms: 113(2 + -4x) = 0.05x + 6 (2 * 113 + -4x * 113) = 0.05x + 6 (226 + -452x) = 0.05x + 6 Reorder the terms: 226 + -452x = 6 + 0.05x Solving 226 + -452x = 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. 226 + -452x + -0.05x = 6 + 0.05x + -0.05x Combine like terms: -452x + -0.05x = -452.05x 226 + -452.05x = 6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 226 + -452.05x = 6 + 0.00 226 + -452.05x = 6 Add '-226' to each side of the equation. 226 + -226 + -452.05x = 6 + -226 Combine like terms: 226 + -226 = 0 0 + -452.05x = 6 + -226 -452.05x = 6 + -226 Combine like terms: 6 + -226 = -220 -452.05x = -220 Divide each side by '-452.05'. x = 0.4866718283 Simplifying x = 0.4866718283
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