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Simplifying 13(-4x + 2) = 0.5x + 6 Reorder the terms: 13(2 + -4x) = 0.5x + 6 (2 * 13 + -4x * 13) = 0.5x + 6 (26 + -52x) = 0.5x + 6 Reorder the terms: 26 + -52x = 6 + 0.5x Solving 26 + -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. 26 + -52x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: -52x + -0.5x = -52.5x 26 + -52.5x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 26 + -52.5x = 6 + 0.0 26 + -52.5x = 6 Add '-26' to each side of the equation. 26 + -26 + -52.5x = 6 + -26 Combine like terms: 26 + -26 = 0 0 + -52.5x = 6 + -26 -52.5x = 6 + -26 Combine like terms: 6 + -26 = -20 -52.5x = -20 Divide each side by '-52.5'. x = 0.380952381 Simplifying x = 0.380952381
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