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Simplifying 5(x + -7) = 3(x + 8) + x Reorder the terms: 5(-7 + x) = 3(x + 8) + x (-7 * 5 + x * 5) = 3(x + 8) + x (-35 + 5x) = 3(x + 8) + x Reorder the terms: -35 + 5x = 3(8 + x) + x -35 + 5x = (8 * 3 + x * 3) + x -35 + 5x = (24 + 3x) + x Combine like terms: 3x + x = 4x -35 + 5x = 24 + 4x Solving -35 + 5x = 24 + 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. -35 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x -35 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 1x = 24 + 0 -35 + 1x = 24 Add '35' to each side of the equation. -35 + 35 + 1x = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 24 + 35 1x = 24 + 35 Combine like terms: 24 + 35 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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