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Simplifying 5(x + -2) + 7(x + -3) = 0 Reorder the terms: 5(-2 + x) + 7(x + -3) = 0 (-2 * 5 + x * 5) + 7(x + -3) = 0 (-10 + 5x) + 7(x + -3) = 0 Reorder the terms: -10 + 5x + 7(-3 + x) = 0 -10 + 5x + (-3 * 7 + x * 7) = 0 -10 + 5x + (-21 + 7x) = 0 Reorder the terms: -10 + -21 + 5x + 7x = 0 Combine like terms: -10 + -21 = -31 -31 + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x -31 + 12x = 0 Solving -31 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 12x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 0 + 31 12x = 0 + 31 Combine like terms: 0 + 31 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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