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Simplifying 0.50(4 + -2x) = 9 + -1(5x + 3) (4 * 0.50 + -2x * 0.50) = 9 + -1(5x + 3) (2 + -1x) = 9 + -1(5x + 3) Reorder the terms: 2 + -1x = 9 + -1(3 + 5x) 2 + -1x = 9 + (3 * -1 + 5x * -1) 2 + -1x = 9 + (-3 + -5x) Combine like terms: 9 + -3 = 6 2 + -1x = 6 + -5x Solving 2 + -1x = 6 + -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. 2 + -1x + 5x = 6 + -5x + 5x Combine like terms: -1x + 5x = 4x 2 + 4x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 4x = 6 + 0 2 + 4x = 6 Add '-2' to each side of the equation. 2 + -2 + 4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 6 + -2 4x = 6 + -2 Combine like terms: 6 + -2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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