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Simplifying 0.13(4x + -20) = 0.5x + -6 Reorder the terms: 0.13(-20 + 4x) = 0.5x + -6 (-20 * 0.13 + 4x * 0.13) = 0.5x + -6 (-2.6 + 0.52x) = 0.5x + -6 Reorder the terms: -2.6 + 0.52x = -6 + 0.5x Solving -2.6 + 0.52x = -6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2.6 + 0.52x + -0.5x = -6 + 0.5x + -0.5x Combine like terms: 0.52x + -0.5x = 0.02x -2.6 + 0.02x = -6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2.6 + 0.02x = -6 + 0.0 -2.6 + 0.02x = -6 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.02x = -6 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.02x = -6 + 2.6 0.02x = -6 + 2.6 Combine like terms: -6 + 2.6 = -3.4 0.02x = -3.4 Divide each side by '0.02'. x = -170 Simplifying x = -170
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