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Simplifying 14 + -1(6x + -5) = 5(2x + -1) + -4x Reorder the terms: 14 + -1(-5 + 6x) = 5(2x + -1) + -4x 14 + (-5 * -1 + 6x * -1) = 5(2x + -1) + -4x 14 + (5 + -6x) = 5(2x + -1) + -4x Combine like terms: 14 + 5 = 19 19 + -6x = 5(2x + -1) + -4x Reorder the terms: 19 + -6x = 5(-1 + 2x) + -4x 19 + -6x = (-1 * 5 + 2x * 5) + -4x 19 + -6x = (-5 + 10x) + -4x Combine like terms: 10x + -4x = 6x 19 + -6x = -5 + 6x Solving 19 + -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. 19 + -6x + -6x = -5 + 6x + -6x Combine like terms: -6x + -6x = -12x 19 + -12x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -12x = -5 + 0 19 + -12x = -5 Add '-19' to each side of the equation. 19 + -19 + -12x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -12x = -5 + -19 -12x = -5 + -19 Combine like terms: -5 + -19 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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