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Simplifying -2(7 + -3x) + -5(x + -2) = 1 (7 * -2 + -3x * -2) + -5(x + -2) = 1 (-14 + 6x) + -5(x + -2) = 1 Reorder the terms: -14 + 6x + -5(-2 + x) = 1 -14 + 6x + (-2 * -5 + x * -5) = 1 -14 + 6x + (10 + -5x) = 1 Reorder the terms: -14 + 10 + 6x + -5x = 1 Combine like terms: -14 + 10 = -4 -4 + 6x + -5x = 1 Combine like terms: 6x + -5x = 1x -4 + 1x = 1 Solving -4 + 1x = 1 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 + 1x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 1 + 4 1x = 1 + 4 Combine like terms: 1 + 4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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