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Simplifying 0.50(4x + -2) = x + 5 Reorder the terms: 0.50(-2 + 4x) = x + 5 (-2 * 0.50 + 4x * 0.50) = x + 5 (-1 + 2x) = x + 5 Reorder the terms: -1 + 2x = 5 + x Solving -1 + 2x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 2x + -1x = 5 + x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = 5 + x + -1x Combine like terms: x + -1x = 0 -1 + 1x = 5 + 0 -1 + 1x = 5 Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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