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Simplifying 5(2x + -10) + -4(x + -5) = 0 Reorder the terms: 5(-10 + 2x) + -4(x + -5) = 0 (-10 * 5 + 2x * 5) + -4(x + -5) = 0 (-50 + 10x) + -4(x + -5) = 0 Reorder the terms: -50 + 10x + -4(-5 + x) = 0 -50 + 10x + (-5 * -4 + x * -4) = 0 -50 + 10x + (20 + -4x) = 0 Reorder the terms: -50 + 20 + 10x + -4x = 0 Combine like terms: -50 + 20 = -30 -30 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -30 + 6x = 0 Solving -30 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 0 + 30 6x = 0 + 30 Combine like terms: 0 + 30 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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