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Simplifying -5(x + 7) = 5x + 15 Reorder the terms: -5(7 + x) = 5x + 15 (7 * -5 + x * -5) = 5x + 15 (-35 + -5x) = 5x + 15 Reorder the terms: -35 + -5x = 15 + 5x Solving -35 + -5x = 15 + 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 + -5x + -5x = 15 + 5x + -5x Combine like terms: -5x + -5x = -10x -35 + -10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + -10x = 15 + 0 -35 + -10x = 15 Add '35' to each side of the equation. -35 + 35 + -10x = 15 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = 15 + 35 -10x = 15 + 35 Combine like terms: 15 + 35 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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