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Simplifying 13(4x + -20) = 0.5x + -6 Reorder the terms: 13(-20 + 4x) = 0.5x + -6 (-20 * 13 + 4x * 13) = 0.5x + -6 (-260 + 52x) = 0.5x + -6 Reorder the terms: -260 + 52x = -6 + 0.5x Solving -260 + 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. -260 + 52x + -0.5x = -6 + 0.5x + -0.5x Combine like terms: 52x + -0.5x = 51.5x -260 + 51.5x = -6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -260 + 51.5x = -6 + 0.0 -260 + 51.5x = -6 Add '260' to each side of the equation. -260 + 260 + 51.5x = -6 + 260 Combine like terms: -260 + 260 = 0 0 + 51.5x = -6 + 260 51.5x = -6 + 260 Combine like terms: -6 + 260 = 254 51.5x = 254 Divide each side by '51.5'. x = 4.932038835 Simplifying x = 4.932038835
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