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Simplifying 0.5(6 + -1x) + 3x = 0.5x + -8 (6 * 0.5 + -1x * 0.5) + 3x = 0.5x + -8 (3 + -0.5x) + 3x = 0.5x + -8 Combine like terms: -0.5x + 3x = 2.5x 3 + 2.5x = 0.5x + -8 Reorder the terms: 3 + 2.5x = -8 + 0.5x Solving 3 + 2.5x = -8 + 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 + 2.5x + -0.5x = -8 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 3 + 2x = -8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 2x = -8 + 0.0 3 + 2x = -8 Add '-3' to each side of the equation. 3 + -3 + 2x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -8 + -3 2x = -8 + -3 Combine like terms: -8 + -3 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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