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Simplifying 12x + 8 = 0.5(2x + -8) Reorder the terms: 8 + 12x = 0.5(2x + -8) Reorder the terms: 8 + 12x = 0.5(-8 + 2x) 8 + 12x = (-8 * 0.5 + 2x * 0.5) 8 + 12x = (-4 + 1x) Solving 8 + 12x = -4 + 1x 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. 8 + 12x + -1x = -4 + 1x + -1x Combine like terms: 12x + -1x = 11x 8 + 11x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 11x = -4 + 0 8 + 11x = -4 Add '-8' to each side of the equation. 8 + -8 + 11x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = -4 + -8 11x = -4 + -8 Combine like terms: -4 + -8 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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