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Simplifying 5(x + -2) + -3(x + -2) = 0 Reorder the terms: 5(-2 + x) + -3(x + -2) = 0 (-2 * 5 + x * 5) + -3(x + -2) = 0 (-10 + 5x) + -3(x + -2) = 0 Reorder the terms: -10 + 5x + -3(-2 + x) = 0 -10 + 5x + (-2 * -3 + x * -3) = 0 -10 + 5x + (6 + -3x) = 0 Reorder the terms: -10 + 6 + 5x + -3x = 0 Combine like terms: -10 + 6 = -4 -4 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -4 + 2x = 0 Solving -4 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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