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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 = 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 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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