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Simplifying 0.5(6x + -12) + 8 = 5x + -14 Reorder the terms: 0.5(-12 + 6x) + 8 = 5x + -14 (-12 * 0.5 + 6x * 0.5) + 8 = 5x + -14 (-6 + 3x) + 8 = 5x + -14 Reorder the terms: -6 + 8 + 3x = 5x + -14 Combine like terms: -6 + 8 = 2 2 + 3x = 5x + -14 Reorder the terms: 2 + 3x = -14 + 5x Solving 2 + 3x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 3x + -5x = -14 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = -14 + 5x + -5x Combine like terms: 5x + -5x = 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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