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Simplifying 2(4x + -2) + -2x = 0.5x + -0.5 Reorder the terms: 2(-2 + 4x) + -2x = 0.5x + -0.5 (-2 * 2 + 4x * 2) + -2x = 0.5x + -0.5 (-4 + 8x) + -2x = 0.5x + -0.5 Combine like terms: 8x + -2x = 6x -4 + 6x = 0.5x + -0.5 Reorder the terms: -4 + 6x = -0.5 + 0.5x Solving -4 + 6x = -0.5 + 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. -4 + 6x + -0.5x = -0.5 + 0.5x + -0.5x Combine like terms: 6x + -0.5x = 5.5x -4 + 5.5x = -0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + 5.5x = -0.5 + 0.0 -4 + 5.5x = -0.5 Add '4' to each side of the equation. -4 + 4 + 5.5x = -0.5 + 4 Combine like terms: -4 + 4 = 0 0 + 5.5x = -0.5 + 4 5.5x = -0.5 + 4 Combine like terms: -0.5 + 4 = 3.5 5.5x = 3.5 Divide each side by '5.5'. x = 0.6363636364 Simplifying x = 0.6363636364
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