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Simplifying 0.5(8x + 12) = 2x + -2 Reorder the terms: 0.5(12 + 8x) = 2x + -2 (12 * 0.5 + 8x * 0.5) = 2x + -2 (6 + 4x) = 2x + -2 Reorder the terms: 6 + 4x = -2 + 2x Solving 6 + 4x = -2 + 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 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = -2 + 0 6 + 2x = -2 Add '-6' to each side of the equation. 6 + -6 + 2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -2 + -6 2x = -2 + -6 Combine like terms: -2 + -6 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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