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Simplifying -0.5(-4x + 3) + -2 = 1 + 0.5x Reorder the terms: -0.5(3 + -4x) + -2 = 1 + 0.5x (3 * -0.5 + -4x * -0.5) + -2 = 1 + 0.5x (-1.5 + 2x) + -2 = 1 + 0.5x Reorder the terms: -1.5 + -2 + 2x = 1 + 0.5x Combine like terms: -1.5 + -2 = -3.5 -3.5 + 2x = 1 + 0.5x Solving -3.5 + 2x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3.5 + 2x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -3.5 + 1.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3.5 + 1.5x = 1 + 0.0 -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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