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Simplifying 0.5(-2x + 8) = 3x + -12 Reorder the terms: 0.5(8 + -2x) = 3x + -12 (8 * 0.5 + -2x * 0.5) = 3x + -12 (4 + -1x) = 3x + -12 Reorder the terms: 4 + -1x = -12 + 3x Solving 4 + -1x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -1x + -3x = -12 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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