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Simplifying 0.5x + 2(x + -3) = -2(x + -1) Reorder the terms: 0.5x + 2(-3 + x) = -2(x + -1) 0.5x + (-3 * 2 + x * 2) = -2(x + -1) 0.5x + (-6 + 2x) = -2(x + -1) Reorder the terms: -6 + 0.5x + 2x = -2(x + -1) Combine like terms: 0.5x + 2x = 2.5x -6 + 2.5x = -2(x + -1) Reorder the terms: -6 + 2.5x = -2(-1 + x) -6 + 2.5x = (-1 * -2 + x * -2) -6 + 2.5x = (2 + -2x) Solving -6 + 2.5x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 2.5x + 2x = 2 + -2x + 2x Combine like terms: 2.5x + 2x = 4.5x -6 + 4.5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4.5x = 2 + 0 -6 + 4.5x = 2 Add '6' to each side of the equation. -6 + 6 + 4.5x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4.5x = 2 + 6 4.5x = 2 + 6 Combine like terms: 2 + 6 = 8 4.5x = 8 Divide each side by '4.5'. x = 1.777777778 Simplifying x = 1.777777778
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