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Simplifying 13(2x + -1) + 33 = 6(5x + 2) Reorder the terms: 13(-1 + 2x) + 33 = 6(5x + 2) (-1 * 13 + 2x * 13) + 33 = 6(5x + 2) (-13 + 26x) + 33 = 6(5x + 2) Reorder the terms: -13 + 33 + 26x = 6(5x + 2) Combine like terms: -13 + 33 = 20 20 + 26x = 6(5x + 2) Reorder the terms: 20 + 26x = 6(2 + 5x) 20 + 26x = (2 * 6 + 5x * 6) 20 + 26x = (12 + 30x) Solving 20 + 26x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + 26x + -30x = 12 + 30x + -30x Combine like terms: 26x + -30x = -4x 20 + -4x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -4x = 12 + 0 20 + -4x = 12 Add '-20' to each side of the equation. 20 + -20 + -4x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 12 + -20 -4x = 12 + -20 Combine like terms: 12 + -20 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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