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Simplifying 13 + -2(4x + -1) = 5 + 3(2 + -1x) + 14 Reorder the terms: 13 + -2(-1 + 4x) = 5 + 3(2 + -1x) + 14 13 + (-1 * -2 + 4x * -2) = 5 + 3(2 + -1x) + 14 13 + (2 + -8x) = 5 + 3(2 + -1x) + 14 Combine like terms: 13 + 2 = 15 15 + -8x = 5 + 3(2 + -1x) + 14 15 + -8x = 5 + (2 * 3 + -1x * 3) + 14 15 + -8x = 5 + (6 + -3x) + 14 Reorder the terms: 15 + -8x = 5 + 6 + 14 + -3x Combine like terms: 5 + 6 = 11 15 + -8x = 11 + 14 + -3x Combine like terms: 11 + 14 = 25 15 + -8x = 25 + -3x Solving 15 + -8x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + -8x + 3x = 25 + -3x + 3x Combine like terms: -8x + 3x = -5x 15 + -5x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + -5x = 25 + 0 15 + -5x = 25 Add '-15' to each side of the equation. 15 + -15 + -5x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 25 + -15 -5x = 25 + -15 Combine like terms: 25 + -15 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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