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Simplifying -3(10x + -10) = 5(-7x + -4) Reorder the terms: -3(-10 + 10x) = 5(-7x + -4) (-10 * -3 + 10x * -3) = 5(-7x + -4) (30 + -30x) = 5(-7x + -4) Reorder the terms: 30 + -30x = 5(-4 + -7x) 30 + -30x = (-4 * 5 + -7x * 5) 30 + -30x = (-20 + -35x) Solving 30 + -30x = -20 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 30 + -30x + 35x = -20 + -35x + 35x Combine like terms: -30x + 35x = 5x 30 + 5x = -20 + -35x + 35x Combine like terms: -35x + 35x = 0 30 + 5x = -20 + 0 30 + 5x = -20 Add '-30' to each side of the equation. 30 + -30 + 5x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -20 + -30 5x = -20 + -30 Combine like terms: -20 + -30 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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