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Simplifying 5(2x + -7) = 5x + -10 Reorder the terms: 5(-7 + 2x) = 5x + -10 (-7 * 5 + 2x * 5) = 5x + -10 (-35 + 10x) = 5x + -10 Reorder the terms: -35 + 10x = -10 + 5x Solving -35 + 10x = -10 + 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 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x -35 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 5x = -10 + 0 -35 + 5x = -10 Add '35' to each side of the equation. -35 + 35 + 5x = -10 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = -10 + 35 5x = -10 + 35 Combine like terms: -10 + 35 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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