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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 = 8 8 + 5x = 2(x + -5) + 3(8 + -3x) Reorder the terms: 8 + 5x = 2(-5 + x) + 3(8 + -3x) 8 + 5x = (-5 * 2 + x * 2) + 3(8 + -3x) 8 + 5x = (-10 + 2x) + 3(8 + -3x) 8 + 5x = -10 + 2x + (8 * 3 + -3x * 3) 8 + 5x = -10 + 2x + (24 + -9x) Reorder the terms: 8 + 5x = -10 + 24 + 2x + -9x Combine like terms: -10 + 24 = 14 8 + 5x = 14 + 2x + -9x Combine like terms: 2x + -9x = -7x 8 + 5x = 14 + -7x Solving 8 + 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. 8 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x 8 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 12x = 14 + 0 8 + 12x = 14 Add '-8' to each side of the equation. 8 + -8 + 12x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 14 + -8 12x = 14 + -8 Combine like terms: 14 + -8 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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