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Simplifying 2(5x + -5) + -5(3x + 10) = 0 Reorder the terms: 2(-5 + 5x) + -5(3x + 10) = 0 (-5 * 2 + 5x * 2) + -5(3x + 10) = 0 (-10 + 10x) + -5(3x + 10) = 0 Reorder the terms: -10 + 10x + -5(10 + 3x) = 0 -10 + 10x + (10 * -5 + 3x * -5) = 0 -10 + 10x + (-50 + -15x) = 0 Reorder the terms: -10 + -50 + 10x + -15x = 0 Combine like terms: -10 + -50 = -60 -60 + 10x + -15x = 0 Combine like terms: 10x + -15x = -5x -60 + -5x = 0 Solving -60 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -5x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -5x = 0 + 60 -5x = 0 + 60 Combine like terms: 0 + 60 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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