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Simplifying 14 + -1(6x + -5) = 5(2x + -1) Reorder the terms: 14 + -1(-5 + 6x) = 5(2x + -1) 14 + (-5 * -1 + 6x * -1) = 5(2x + -1) 14 + (5 + -6x) = 5(2x + -1) Combine like terms: 14 + 5 = 19 19 + -6x = 5(2x + -1) Reorder the terms: 19 + -6x = 5(-1 + 2x) 19 + -6x = (-1 * 5 + 2x * 5) 19 + -6x = (-5 + 10x) Solving 19 + -6x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 19 + -6x + -10x = -5 + 10x + -10x Combine like terms: -6x + -10x = -16x 19 + -16x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + -16x = -5 + 0 19 + -16x = -5 Add '-19' to each side of the equation. 19 + -19 + -16x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -16x = -5 + -19 -16x = -5 + -19 Combine like terms: -5 + -19 = -24 -16x = -24 Divide each side by '-16'. x = 1.5 Simplifying x = 1.5
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