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Simplifying 0.5(12 + -4x) = 6 + -1(x + 8) (12 * 0.5 + -4x * 0.5) = 6 + -1(x + 8) (6 + -2x) = 6 + -1(x + 8) Reorder the terms: 6 + -2x = 6 + -1(8 + x) 6 + -2x = 6 + (8 * -1 + x * -1) 6 + -2x = 6 + (-8 + -1x) Combine like terms: 6 + -8 = -2 6 + -2x = -2 + -1x Solving 6 + -2x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + -2x + x = -2 + -1x + x Combine like terms: -2x + x = -1x 6 + -1x = -2 + -1x + x Combine like terms: -1x + x = 0 6 + -1x = -2 + 0 6 + -1x = -2 Add '-6' to each side of the equation. 6 + -6 + -1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -2 + -6 -1x = -2 + -6 Combine like terms: -2 + -6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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