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Simplifying 7(x + -5) = 15(3 + -1x) + 2x Reorder the terms: 7(-5 + x) = 15(3 + -1x) + 2x (-5 * 7 + x * 7) = 15(3 + -1x) + 2x (-35 + 7x) = 15(3 + -1x) + 2x -35 + 7x = (3 * 15 + -1x * 15) + 2x -35 + 7x = (45 + -15x) + 2x Combine like terms: -15x + 2x = -13x -35 + 7x = 45 + -13x Solving -35 + 7x = 45 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -35 + 7x + 13x = 45 + -13x + 13x Combine like terms: 7x + 13x = 20x -35 + 20x = 45 + -13x + 13x Combine like terms: -13x + 13x = 0 -35 + 20x = 45 + 0 -35 + 20x = 45 Add '35' to each side of the equation. -35 + 35 + 20x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 20x = 45 + 35 20x = 45 + 35 Combine like terms: 45 + 35 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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