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Simplifying 14 + -1(5x + -6) = 2(x + -5) + 3(8 + -3x) Reorder the terms: 14 + -1(-6 + 5x) = 2(x + -5) + 3(8 + -3x) 14 + (-6 * -1 + 5x * -1) = 2(x + -5) + 3(8 + -3x) 14 + (6 + -5x) = 2(x + -5) + 3(8 + -3x) Combine like terms: 14 + 6 = 20 20 + -5x = 2(x + -5) + 3(8 + -3x) Reorder the terms: 20 + -5x = 2(-5 + x) + 3(8 + -3x) 20 + -5x = (-5 * 2 + x * 2) + 3(8 + -3x) 20 + -5x = (-10 + 2x) + 3(8 + -3x) 20 + -5x = -10 + 2x + (8 * 3 + -3x * 3) 20 + -5x = -10 + 2x + (24 + -9x) Reorder the terms: 20 + -5x = -10 + 24 + 2x + -9x Combine like terms: -10 + 24 = 14 20 + -5x = 14 + 2x + -9x Combine like terms: 2x + -9x = -7x 20 + -5x = 14 + -7x Solving 20 + -5x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -5x + 7x = 14 + -7x + 7x Combine like terms: -5x + 7x = 2x 20 + 2x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 2x = 14 + 0 20 + 2x = 14 Add '-20' to each side of the equation. 20 + -20 + 2x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 14 + -20 2x = 14 + -20 Combine like terms: 14 + -20 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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