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Simplifying 7(3x + 2) + -1 = 20(x + -1) + 36 Reorder the terms: 7(2 + 3x) + -1 = 20(x + -1) + 36 (2 * 7 + 3x * 7) + -1 = 20(x + -1) + 36 (14 + 21x) + -1 = 20(x + -1) + 36 Reorder the terms: 14 + -1 + 21x = 20(x + -1) + 36 Combine like terms: 14 + -1 = 13 13 + 21x = 20(x + -1) + 36 Reorder the terms: 13 + 21x = 20(-1 + x) + 36 13 + 21x = (-1 * 20 + x * 20) + 36 13 + 21x = (-20 + 20x) + 36 Reorder the terms: 13 + 21x = -20 + 36 + 20x Combine like terms: -20 + 36 = 16 13 + 21x = 16 + 20x Solving 13 + 21x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 13 + 21x + -20x = 16 + 20x + -20x Combine like terms: 21x + -20x = 1x 13 + 1x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 13 + 1x = 16 + 0 13 + 1x = 16 Add '-13' to each side of the equation. 13 + -13 + 1x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 16 + -13 1x = 16 + -13 Combine like terms: 16 + -13 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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