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Simplifying 4(-6 + x) = 5x + -0.5 (-6 * 4 + x * 4) = 5x + -0.5 (-24 + 4x) = 5x + -0.5 Reorder the terms: -24 + 4x = -0.5 + 5x Solving -24 + 4x = -0.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 4x + -5x = -0.5 + 5x + -5x Combine like terms: 4x + -5x = -1x -24 + -1x = -0.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -1x = -0.5 + 0 -24 + -1x = -0.5 Add '24' to each side of the equation. -24 + 24 + -1x = -0.5 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -0.5 + 24 -1x = -0.5 + 24 Combine like terms: -0.5 + 24 = 23.5 -1x = 23.5 Divide each side by '-1'. x = -23.5 Simplifying x = -23.5
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