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Simplifying 5(2x + -2) + -3(5x + 50) = 0 Reorder the terms: 5(-2 + 2x) + -3(5x + 50) = 0 (-2 * 5 + 2x * 5) + -3(5x + 50) = 0 (-10 + 10x) + -3(5x + 50) = 0 Reorder the terms: -10 + 10x + -3(50 + 5x) = 0 -10 + 10x + (50 * -3 + 5x * -3) = 0 -10 + 10x + (-150 + -15x) = 0 Reorder the terms: -10 + -150 + 10x + -15x = 0 Combine like terms: -10 + -150 = -160 -160 + 10x + -15x = 0 Combine like terms: 10x + -15x = -5x -160 + -5x = 0 Solving -160 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + -5x = 0 + 160 Combine like terms: -160 + 160 = 0 0 + -5x = 0 + 160 -5x = 0 + 160 Combine like terms: 0 + 160 = 160 -5x = 160 Divide each side by '-5'. x = -32 Simplifying x = -32
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