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Simplifying 5(2x + -7) + -3x = 5x + 9 Reorder the terms: 5(-7 + 2x) + -3x = 5x + 9 (-7 * 5 + 2x * 5) + -3x = 5x + 9 (-35 + 10x) + -3x = 5x + 9 Combine like terms: 10x + -3x = 7x -35 + 7x = 5x + 9 Reorder the terms: -35 + 7x = 9 + 5x Solving -35 + 7x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x -35 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 2x = 9 + 0 -35 + 2x = 9 Add '35' to each side of the equation. -35 + 35 + 2x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 9 + 35 2x = 9 + 35 Combine like terms: 9 + 35 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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