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Simplifying 14 + -1(6x + -5) = (2x + -1) + -4x Reorder the terms: 14 + -1(-5 + 6x) = (2x + -1) + -4x 14 + (-5 * -1 + 6x * -1) = (2x + -1) + -4x 14 + (5 + -6x) = (2x + -1) + -4x Combine like terms: 14 + 5 = 19 19 + -6x = (2x + -1) + -4x Reorder the terms: 19 + -6x = (-1 + 2x) + -4x Remove parenthesis around (-1 + 2x) 19 + -6x = -1 + 2x + -4x Combine like terms: 2x + -4x = -2x 19 + -6x = -1 + -2x Solving 19 + -6x = -1 + -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. 19 + -6x + 2x = -1 + -2x + 2x Combine like terms: -6x + 2x = -4x 19 + -4x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -4x = -1 + 0 19 + -4x = -1 Add '-19' to each side of the equation. 19 + -19 + -4x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = -1 + -19 -4x = -1 + -19 Combine like terms: -1 + -19 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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