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Simplifying x + 7(x + -5) = 2(5 + -1x) Reorder the terms: x + 7(-5 + x) = 2(5 + -1x) x + (-5 * 7 + x * 7) = 2(5 + -1x) x + (-35 + 7x) = 2(5 + -1x) Reorder the terms: -35 + x + 7x = 2(5 + -1x) Combine like terms: x + 7x = 8x -35 + 8x = 2(5 + -1x) -35 + 8x = (5 * 2 + -1x * 2) -35 + 8x = (10 + -2x) Solving -35 + 8x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x -35 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 10x = 10 + 0 -35 + 10x = 10 Add '35' to each side of the equation. -35 + 35 + 10x = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 10 + 35 10x = 10 + 35 Combine like terms: 10 + 35 = 45 10x = 45 Divide each side by '10'. x = 4.5 Simplifying x = 4.5
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