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Simplifying 0.13(4x + -20) = 0.5 + -6 Reorder the terms: 0.13(-20 + 4x) = 0.5 + -6 (-20 * 0.13 + 4x * 0.13) = 0.5 + -6 (-2.6 + 0.52x) = 0.5 + -6 Combine like terms: 0.5 + -6 = -5.5 -2.6 + 0.52x = -5.5 Solving -2.6 + 0.52x = -5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.52x = -5.5 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.52x = -5.5 + 2.6 0.52x = -5.5 + 2.6 Combine like terms: -5.5 + 2.6 = -2.9 0.52x = -2.9 Divide each side by '0.52'. x = -5.576923077 Simplifying x = -5.576923077
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