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Simplifying 14 + -1(6x + -3) = 5(2x + -1) + -4x Reorder the terms: 14 + -1(-3 + 6x) = 5(2x + -1) + -4x 14 + (-3 * -1 + 6x * -1) = 5(2x + -1) + -4x 14 + (3 + -6x) = 5(2x + -1) + -4x Combine like terms: 14 + 3 = 17 17 + -6x = 5(2x + -1) + -4x Reorder the terms: 17 + -6x = 5(-1 + 2x) + -4x 17 + -6x = (-1 * 5 + 2x * 5) + -4x 17 + -6x = (-5 + 10x) + -4x Combine like terms: 10x + -4x = 6x 17 + -6x = -5 + 6x Solving 17 + -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. 17 + -6x + -6x = -5 + 6x + -6x Combine like terms: -6x + -6x = -12x 17 + -12x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -12x = -5 + 0 17 + -12x = -5 Add '-17' to each side of the equation. 17 + -17 + -12x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = -5 + -17 -12x = -5 + -17 Combine like terms: -5 + -17 = -22 -12x = -22 Divide each side by '-12'. x = 1.833333333 Simplifying x = 1.833333333
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