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Simplifying 3(3x + 1) + -1(2x + -5) + -28 = 2(3x + 1) + -1(2x + -5) Reorder the terms: 3(1 + 3x) + -1(2x + -5) + -28 = 2(3x + 1) + -1(2x + -5) (1 * 3 + 3x * 3) + -1(2x + -5) + -28 = 2(3x + 1) + -1(2x + -5) (3 + 9x) + -1(2x + -5) + -28 = 2(3x + 1) + -1(2x + -5) Reorder the terms: 3 + 9x + -1(-5 + 2x) + -28 = 2(3x + 1) + -1(2x + -5) 3 + 9x + (-5 * -1 + 2x * -1) + -28 = 2(3x + 1) + -1(2x + -5) 3 + 9x + (5 + -2x) + -28 = 2(3x + 1) + -1(2x + -5) Reorder the terms: 3 + 5 + -28 + 9x + -2x = 2(3x + 1) + -1(2x + -5) Combine like terms: 3 + 5 = 8 8 + -28 + 9x + -2x = 2(3x + 1) + -1(2x + -5) Combine like terms: 8 + -28 = -20 -20 + 9x + -2x = 2(3x + 1) + -1(2x + -5) Combine like terms: 9x + -2x = 7x -20 + 7x = 2(3x + 1) + -1(2x + -5) Reorder the terms: -20 + 7x = 2(1 + 3x) + -1(2x + -5) -20 + 7x = (1 * 2 + 3x * 2) + -1(2x + -5) -20 + 7x = (2 + 6x) + -1(2x + -5) Reorder the terms: -20 + 7x = 2 + 6x + -1(-5 + 2x) -20 + 7x = 2 + 6x + (-5 * -1 + 2x * -1) -20 + 7x = 2 + 6x + (5 + -2x) Reorder the terms: -20 + 7x = 2 + 5 + 6x + -2x Combine like terms: 2 + 5 = 7 -20 + 7x = 7 + 6x + -2x Combine like terms: 6x + -2x = 4x -20 + 7x = 7 + 4x Solving -20 + 7x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 7x + -4x = 7 + 4x + -4x Combine like terms: 7x + -4x = 3x -20 + 3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 3x = 7 + 0 -20 + 3x = 7 Add '20' to each side of the equation. -20 + 20 + 3x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 7 + 20 3x = 7 + 20 Combine like terms: 7 + 20 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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