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Simplifying 8x + 48 + -1(5x + -20) = (3x + 13) * 2 Reorder the terms: 8x + 48 + -1(-20 + 5x) = (3x + 13) * 2 8x + 48 + (-20 * -1 + 5x * -1) = (3x + 13) * 2 8x + 48 + (20 + -5x) = (3x + 13) * 2 Reorder the terms: 48 + 20 + 8x + -5x = (3x + 13) * 2 Combine like terms: 48 + 20 = 68 68 + 8x + -5x = (3x + 13) * 2 Combine like terms: 8x + -5x = 3x 68 + 3x = (3x + 13) * 2 Reorder the terms: 68 + 3x = (13 + 3x) * 2 Reorder the terms for easier multiplication: 68 + 3x = 2(13 + 3x) 68 + 3x = (13 * 2 + 3x * 2) 68 + 3x = (26 + 6x) Solving 68 + 3x = 26 + 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. 68 + 3x + -6x = 26 + 6x + -6x Combine like terms: 3x + -6x = -3x 68 + -3x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 68 + -3x = 26 + 0 68 + -3x = 26 Add '-68' to each side of the equation. 68 + -68 + -3x = 26 + -68 Combine like terms: 68 + -68 = 0 0 + -3x = 26 + -68 -3x = 26 + -68 Combine like terms: 26 + -68 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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