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Simplifying 0.5(12 + -6x) = 4 + -2x (12 * 0.5 + -6x * 0.5) = 4 + -2x (6 + -3x) = 4 + -2x Solving 6 + -3x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -3x + 2x = 4 + -2x + 2x Combine like terms: -3x + 2x = -1x 6 + -1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -1x = 4 + 0 6 + -1x = 4 Add '-6' to each side of the equation. 6 + -6 + -1x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 4 + -6 -1x = 4 + -6 Combine like terms: 4 + -6 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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