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Simplifying 2(6 + -4x) = 14 + -1(2x + 5) (6 * 2 + -4x * 2) = 14 + -1(2x + 5) (12 + -8x) = 14 + -1(2x + 5) Reorder the terms: 12 + -8x = 14 + -1(5 + 2x) 12 + -8x = 14 + (5 * -1 + 2x * -1) 12 + -8x = 14 + (-5 + -2x) Combine like terms: 14 + -5 = 9 12 + -8x = 9 + -2x Solving 12 + -8x = 9 + -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. 12 + -8x + 2x = 9 + -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = 9 + 0 12 + -6x = 9 Add '-12' to each side of the equation. 12 + -12 + -6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 9 + -12 -6x = 9 + -12 Combine like terms: 9 + -12 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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