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Simplifying 0.5(6x + 12) = x + -8 Reorder the terms: 0.5(12 + 6x) = x + -8 (12 * 0.5 + 6x * 0.5) = x + -8 (6 + 3x) = x + -8 Reorder the terms: 6 + 3x = -8 + x Solving 6 + 3x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 3x + -1x = -8 + x + -1x Combine like terms: 3x + -1x = 2x 6 + 2x = -8 + x + -1x Combine like terms: x + -1x = 0 6 + 2x = -8 + 0 6 + 2x = -8 Add '-6' to each side of the equation. 6 + -6 + 2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -8 + -6 2x = -8 + -6 Combine like terms: -8 + -6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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