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Simplifying 31 + -2(4x + 3) = 5(13 + -2x) + -34 Reorder the terms: 31 + -2(3 + 4x) = 5(13 + -2x) + -34 31 + (3 * -2 + 4x * -2) = 5(13 + -2x) + -34 31 + (-6 + -8x) = 5(13 + -2x) + -34 Combine like terms: 31 + -6 = 25 25 + -8x = 5(13 + -2x) + -34 25 + -8x = (13 * 5 + -2x * 5) + -34 25 + -8x = (65 + -10x) + -34 Reorder the terms: 25 + -8x = 65 + -34 + -10x Combine like terms: 65 + -34 = 31 25 + -8x = 31 + -10x Solving 25 + -8x = 31 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 25 + -8x + 10x = 31 + -10x + 10x Combine like terms: -8x + 10x = 2x 25 + 2x = 31 + -10x + 10x Combine like terms: -10x + 10x = 0 25 + 2x = 31 + 0 25 + 2x = 31 Add '-25' to each side of the equation. 25 + -25 + 2x = 31 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 31 + -25 2x = 31 + -25 Combine like terms: 31 + -25 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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