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Simplifying 7(x + -5) = 2x + -15 Reorder the terms: 7(-5 + x) = 2x + -15 (-5 * 7 + x * 7) = 2x + -15 (-35 + 7x) = 2x + -15 Reorder the terms: -35 + 7x = -15 + 2x Solving -35 + 7x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 7x + -2x = -15 + 2x + -2x Combine like terms: 7x + -2x = 5x -35 + 5x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 5x = -15 + 0 -35 + 5x = -15 Add '35' to each side of the equation. -35 + 35 + 5x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = -15 + 35 5x = -15 + 35 Combine like terms: -15 + 35 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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