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Simplifying (20x + -15) + -1(6x + 13) = (9x + 37) + -1(5x + -5) Reorder the terms: (-15 + 20x) + -1(6x + 13) = (9x + 37) + -1(5x + -5) Remove parenthesis around (-15 + 20x) -15 + 20x + -1(6x + 13) = (9x + 37) + -1(5x + -5) Reorder the terms: -15 + 20x + -1(13 + 6x) = (9x + 37) + -1(5x + -5) -15 + 20x + (13 * -1 + 6x * -1) = (9x + 37) + -1(5x + -5) -15 + 20x + (-13 + -6x) = (9x + 37) + -1(5x + -5) Reorder the terms: -15 + -13 + 20x + -6x = (9x + 37) + -1(5x + -5) Combine like terms: -15 + -13 = -28 -28 + 20x + -6x = (9x + 37) + -1(5x + -5) Combine like terms: 20x + -6x = 14x -28 + 14x = (9x + 37) + -1(5x + -5) Reorder the terms: -28 + 14x = (37 + 9x) + -1(5x + -5) Remove parenthesis around (37 + 9x) -28 + 14x = 37 + 9x + -1(5x + -5) Reorder the terms: -28 + 14x = 37 + 9x + -1(-5 + 5x) -28 + 14x = 37 + 9x + (-5 * -1 + 5x * -1) -28 + 14x = 37 + 9x + (5 + -5x) Reorder the terms: -28 + 14x = 37 + 5 + 9x + -5x Combine like terms: 37 + 5 = 42 -28 + 14x = 42 + 9x + -5x Combine like terms: 9x + -5x = 4x -28 + 14x = 42 + 4x Solving -28 + 14x = 42 + 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. -28 + 14x + -4x = 42 + 4x + -4x Combine like terms: 14x + -4x = 10x -28 + 10x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 10x = 42 + 0 -28 + 10x = 42 Add '28' to each side of the equation. -28 + 28 + 10x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 42 + 28 10x = 42 + 28 Combine like terms: 42 + 28 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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