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Simplifying -1(3x + 1) + 2(1 + -2x) = -13 Reorder the terms: -1(1 + 3x) + 2(1 + -2x) = -13 (1 * -1 + 3x * -1) + 2(1 + -2x) = -13 (-1 + -3x) + 2(1 + -2x) = -13 -1 + -3x + (1 * 2 + -2x * 2) = -13 -1 + -3x + (2 + -4x) = -13 Reorder the terms: -1 + 2 + -3x + -4x = -13 Combine like terms: -1 + 2 = 1 1 + -3x + -4x = -13 Combine like terms: -3x + -4x = -7x 1 + -7x = -13 Solving 1 + -7x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -13 + -1 -7x = -13 + -1 Combine like terms: -13 + -1 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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