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Simplifying 0.5(12x + 4) = 4x + -14 Reorder the terms: 0.5(4 + 12x) = 4x + -14 (4 * 0.5 + 12x * 0.5) = 4x + -14 (2 + 6x) = 4x + -14 Reorder the terms: 2 + 6x = -14 + 4x Solving 2 + 6x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = -14 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = -14 + 0 2 + 2x = -14 Add '-2' to each side of the equation. 2 + -2 + 2x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -14 + -2 2x = -14 + -2 Combine like terms: -14 + -2 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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