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Simplifying 5(x + -1) + 7(x + -2) = 5 Reorder the terms: 5(-1 + x) + 7(x + -2) = 5 (-1 * 5 + x * 5) + 7(x + -2) = 5 (-5 + 5x) + 7(x + -2) = 5 Reorder the terms: -5 + 5x + 7(-2 + x) = 5 -5 + 5x + (-2 * 7 + x * 7) = 5 -5 + 5x + (-14 + 7x) = 5 Reorder the terms: -5 + -14 + 5x + 7x = 5 Combine like terms: -5 + -14 = -19 -19 + 5x + 7x = 5 Combine like terms: 5x + 7x = 12x -19 + 12x = 5 Solving -19 + 12x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 12x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 12x = 5 + 19 12x = 5 + 19 Combine like terms: 5 + 19 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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