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Simplifying 0.5(x + 12) = -2.5x + -8 Reorder the terms: 0.5(12 + x) = -2.5x + -8 (12 * 0.5 + x * 0.5) = -2.5x + -8 (6 + 0.5x) = -2.5x + -8 Reorder the terms: 6 + 0.5x = -8 + -2.5x Solving 6 + 0.5x = -8 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 6 + 0.5x + 2.5x = -8 + -2.5x + 2.5x Combine like terms: 0.5x + 2.5x = 3x 6 + 3x = -8 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 6 + 3x = -8 + 0.0 6 + 3x = -8 Add '-6' to each side of the equation. 6 + -6 + 3x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -8 + -6 3x = -8 + -6 Combine like terms: -8 + -6 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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