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Simplifying -2(3x + -5) + 5x + -7 = 1 Reorder the terms: -2(-5 + 3x) + 5x + -7 = 1 (-5 * -2 + 3x * -2) + 5x + -7 = 1 (10 + -6x) + 5x + -7 = 1 Reorder the terms: 10 + -7 + -6x + 5x = 1 Combine like terms: 10 + -7 = 3 3 + -6x + 5x = 1 Combine like terms: -6x + 5x = -1x 3 + -1x = 1 Solving 3 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 1 + -3 -1x = 1 + -3 Combine like terms: 1 + -3 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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