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Simplifying 14 + -6x + -5 = 5(2x + -1) + -4x Reorder the terms: 14 + -5 + -6x = 5(2x + -1) + -4x Combine like terms: 14 + -5 = 9 9 + -6x = 5(2x + -1) + -4x Reorder the terms: 9 + -6x = 5(-1 + 2x) + -4x 9 + -6x = (-1 * 5 + 2x * 5) + -4x 9 + -6x = (-5 + 10x) + -4x Combine like terms: 10x + -4x = 6x 9 + -6x = -5 + 6x Solving 9 + -6x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -6x + -6x = -5 + 6x + -6x Combine like terms: -6x + -6x = -12x 9 + -12x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -12x = -5 + 0 9 + -12x = -5 Add '-9' to each side of the equation. 9 + -9 + -12x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -5 + -9 -12x = -5 + -9 Combine like terms: -5 + -9 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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