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Simplifying -7(x + -3) = 5(x + -15) Reorder the terms: -7(-3 + x) = 5(x + -15) (-3 * -7 + x * -7) = 5(x + -15) (21 + -7x) = 5(x + -15) Reorder the terms: 21 + -7x = 5(-15 + x) 21 + -7x = (-15 * 5 + x * 5) 21 + -7x = (-75 + 5x) Solving 21 + -7x = -75 + 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. 21 + -7x + -5x = -75 + 5x + -5x Combine like terms: -7x + -5x = -12x 21 + -12x = -75 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -12x = -75 + 0 21 + -12x = -75 Add '-21' to each side of the equation. 21 + -21 + -12x = -75 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = -75 + -21 -12x = -75 + -21 Combine like terms: -75 + -21 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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