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Simplifying 5(x + -7) = 3(2 + -1x) + 1 Reorder the terms: 5(-7 + x) = 3(2 + -1x) + 1 (-7 * 5 + x * 5) = 3(2 + -1x) + 1 (-35 + 5x) = 3(2 + -1x) + 1 -35 + 5x = (2 * 3 + -1x * 3) + 1 -35 + 5x = (6 + -3x) + 1 Reorder the terms: -35 + 5x = 6 + 1 + -3x Combine like terms: 6 + 1 = 7 -35 + 5x = 7 + -3x Solving -35 + 5x = 7 + -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 = 7 + -3x + 3x Combine like terms: 5x + 3x = 8x -35 + 8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 8x = 7 + 0 -35 + 8x = 7 Add '35' to each side of the equation. -35 + 35 + 8x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = 7 + 35 8x = 7 + 35 Combine like terms: 7 + 35 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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