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Simplifying 5(x + -7) = 2(x + 8) + x Reorder the terms: 5(-7 + x) = 2(x + 8) + x (-7 * 5 + x * 5) = 2(x + 8) + x (-35 + 5x) = 2(x + 8) + x Reorder the terms: -35 + 5x = 2(8 + x) + x -35 + 5x = (8 * 2 + x * 2) + x -35 + 5x = (16 + 2x) + x Combine like terms: 2x + x = 3x -35 + 5x = 16 + 3x Solving -35 + 5x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 5x + -3x = 16 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = 16 + 0 -35 + 2x = 16 Add '35' to each side of the equation. -35 + 35 + 2x = 16 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 16 + 35 2x = 16 + 35 Combine like terms: 16 + 35 = 51 2x = 51 Divide each side by '2'. x = 25.5 Simplifying x = 25.5
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