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Simplifying 0.5(2x + -4) = 4x + 1 Reorder the terms: 0.5(-4 + 2x) = 4x + 1 (-4 * 0.5 + 2x * 0.5) = 4x + 1 (-2 + 1x) = 4x + 1 Reorder the terms: -2 + 1x = 1 + 4x Solving -2 + 1x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 1x + -4x = 1 + 4x + -4x Combine like terms: 1x + -4x = -3x -2 + -3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -3x = 1 + 0 -2 + -3x = 1 Add '2' to each side of the equation. -2 + 2 + -3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 1 + 2 -3x = 1 + 2 Combine like terms: 1 + 2 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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