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Simplifying 5(x + -7) = 8x + (3 + -4x) Reorder the terms: 5(-7 + x) = 8x + (3 + -4x) (-7 * 5 + x * 5) = 8x + (3 + -4x) (-35 + 5x) = 8x + (3 + -4x) Remove parenthesis around (3 + -4x) -35 + 5x = 8x + 3 + -4x Reorder the terms: -35 + 5x = 3 + 8x + -4x Combine like terms: 8x + -4x = 4x -35 + 5x = 3 + 4x Solving -35 + 5x = 3 + 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 = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -35 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 1x = 3 + 0 -35 + 1x = 3 Add '35' to each side of the equation. -35 + 35 + 1x = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 3 + 35 1x = 3 + 35 Combine like terms: 3 + 35 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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