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Simplifying 2(5x + -3) + -3(x + 5) = 0 Reorder the terms: 2(-3 + 5x) + -3(x + 5) = 0 (-3 * 2 + 5x * 2) + -3(x + 5) = 0 (-6 + 10x) + -3(x + 5) = 0 Reorder the terms: -6 + 10x + -3(5 + x) = 0 -6 + 10x + (5 * -3 + x * -3) = 0 -6 + 10x + (-15 + -3x) = 0 Reorder the terms: -6 + -15 + 10x + -3x = 0 Combine like terms: -6 + -15 = -21 -21 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -21 + 7x = 0 Solving -21 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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