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Simplifying 0.5 + -1x + 1.5 = 2x + -8 Reorder the terms: 0.5 + 1.5 + -1x = 2x + -8 Combine like terms: 0.5 + 1.5 = 2 2 + -1x = 2x + -8 Reorder the terms: 2 + -1x = -8 + 2x Solving 2 + -1x = -8 + 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. 2 + -1x + -2x = -8 + 2x + -2x Combine like terms: -1x + -2x = -3x 2 + -3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -3x = -8 + 0 2 + -3x = -8 Add '-2' to each side of the equation. 2 + -2 + -3x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -8 + -2 -3x = -8 + -2 Combine like terms: -8 + -2 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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