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Simplifying 5(10x + -10) = -5(-4 + 4) Reorder the terms: 5(-10 + 10x) = -5(-4 + 4) (-10 * 5 + 10x * 5) = -5(-4 + 4) (-50 + 50x) = -5(-4 + 4) Combine like terms: -4 + 4 = 0 -50 + 50x = -5(0) Multiply -5 * 0 -50 + 50x = 0 Anything times zero is zero. -50 + 50x = 0 Solving -50 + 50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 50x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 50x = 0 + 50 50x = 0 + 50 Combine like terms: 0 + 50 = 50 50x = 50 Divide each side by '50'. x = 1 Simplifying x = 1
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