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Simplifying 14 + -1(5x + -6) = -6(x + 1) + -5 Reorder the terms: 14 + -1(-6 + 5x) = -6(x + 1) + -5 14 + (-6 * -1 + 5x * -1) = -6(x + 1) + -5 14 + (6 + -5x) = -6(x + 1) + -5 Combine like terms: 14 + 6 = 20 20 + -5x = -6(x + 1) + -5 Reorder the terms: 20 + -5x = -6(1 + x) + -5 20 + -5x = (1 * -6 + x * -6) + -5 20 + -5x = (-6 + -6x) + -5 Reorder the terms: 20 + -5x = -6 + -5 + -6x Combine like terms: -6 + -5 = -11 20 + -5x = -11 + -6x Solving 20 + -5x = -11 + -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. 20 + -5x + 6x = -11 + -6x + 6x Combine like terms: -5x + 6x = 1x 20 + 1x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 1x = -11 + 0 20 + 1x = -11 Add '-20' to each side of the equation. 20 + -20 + 1x = -11 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -11 + -20 1x = -11 + -20 Combine like terms: -11 + -20 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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