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Simplifying 5(2x + -7) = 3x Reorder the terms: 5(-7 + 2x) = 3x (-7 * 5 + 2x * 5) = 3x (-35 + 10x) = 3x Solving -35 + 10x = 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 + 10x + -3x = 3x + -3x Combine like terms: 10x + -3x = 7x -35 + 7x = 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 7x = 0 Add '35' to each side of the equation. -35 + 35 + 7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 0 + 35 7x = 0 + 35 Combine like terms: 0 + 35 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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