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Simplifying 0.5(6x + 4) = 2x + -12 Reorder the terms: 0.5(4 + 6x) = 2x + -12 (4 * 0.5 + 6x * 0.5) = 2x + -12 (2 + 3x) = 2x + -12 Reorder the terms: 2 + 3x = -12 + 2x Solving 2 + 3x = -12 + 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. 2 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -12 + 0 2 + 1x = -12 Add '-2' to each side of the equation. 2 + -2 + 1x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -12 + -2 1x = -12 + -2 Combine like terms: -12 + -2 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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