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Simplifying 0.13(4x + -20) = 0.05x + -6 Reorder the terms: 0.13(-20 + 4x) = 0.05x + -6 (-20 * 0.13 + 4x * 0.13) = 0.05x + -6 (-2.6 + 0.52x) = 0.05x + -6 Reorder the terms: -2.6 + 0.52x = -6 + 0.05x Solving -2.6 + 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. -2.6 + 0.52x + -0.05x = -6 + 0.05x + -0.05x Combine like terms: 0.52x + -0.05x = 0.47x -2.6 + 0.47x = -6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.6 + 0.47x = -6 + 0.00 -2.6 + 0.47x = -6 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.47x = -6 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.47x = -6 + 2.6 0.47x = -6 + 2.6 Combine like terms: -6 + 2.6 = -3.4 0.47x = -3.4 Divide each side by '0.47'. x = -7.234042553 Simplifying x = -7.234042553
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