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Simplifying 5(x + -7) = 3x + 17 Reorder the terms: 5(-7 + x) = 3x + 17 (-7 * 5 + x * 5) = 3x + 17 (-35 + 5x) = 3x + 17 Reorder the terms: -35 + 5x = 17 + 3x Solving -35 + 5x = 17 + 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 = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = 17 + 0 -35 + 2x = 17 Add '35' to each side of the equation. -35 + 35 + 2x = 17 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 17 + 35 2x = 17 + 35 Combine like terms: 17 + 35 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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