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Simplifying -0.50(-4x + 3) + -2 = 1 + 0.50x Reorder the terms: -0.50(3 + -4x) + -2 = 1 + 0.50x (3 * -0.50 + -4x * -0.50) + -2 = 1 + 0.50x (-1.5 + 2x) + -2 = 1 + 0.50x Reorder the terms: -1.5 + -2 + 2x = 1 + 0.50x Combine like terms: -1.5 + -2 = -3.5 -3.5 + 2x = 1 + 0.50x Solving -3.5 + 2x = 1 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -3.5 + 2x + -0.50x = 1 + 0.50x + -0.50x Combine like terms: 2x + -0.50x = 1.5x -3.5 + 1.5x = 1 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -3.5 + 1.5x = 1 + 0.00 -3.5 + 1.5x = 1 Add '3.5' to each side of the equation. -3.5 + 3.5 + 1.5x = 1 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1.5x = 1 + 3.5 1.5x = 1 + 3.5 Combine like terms: 1 + 3.5 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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