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Simplifying 2(2x + 7) + 3(x + 2) = 5(x + -1) + -1 Reorder the terms: 2(7 + 2x) + 3(x + 2) = 5(x + -1) + -1 (7 * 2 + 2x * 2) + 3(x + 2) = 5(x + -1) + -1 (14 + 4x) + 3(x + 2) = 5(x + -1) + -1 Reorder the terms: 14 + 4x + 3(2 + x) = 5(x + -1) + -1 14 + 4x + (2 * 3 + x * 3) = 5(x + -1) + -1 14 + 4x + (6 + 3x) = 5(x + -1) + -1 Reorder the terms: 14 + 6 + 4x + 3x = 5(x + -1) + -1 Combine like terms: 14 + 6 = 20 20 + 4x + 3x = 5(x + -1) + -1 Combine like terms: 4x + 3x = 7x 20 + 7x = 5(x + -1) + -1 Reorder the terms: 20 + 7x = 5(-1 + x) + -1 20 + 7x = (-1 * 5 + x * 5) + -1 20 + 7x = (-5 + 5x) + -1 Reorder the terms: 20 + 7x = -5 + -1 + 5x Combine like terms: -5 + -1 = -6 20 + 7x = -6 + 5x Solving 20 + 7x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 7x + -5x = -6 + 5x + -5x Combine like terms: 7x + -5x = 2x 20 + 2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 2x = -6 + 0 20 + 2x = -6 Add '-20' to each side of the equation. 20 + -20 + 2x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -6 + -20 2x = -6 + -20 Combine like terms: -6 + -20 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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