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Simplifying 3(2 + -1x) + 1 = -1(5x + 13) (2 * 3 + -1x * 3) + 1 = -1(5x + 13) (6 + -3x) + 1 = -1(5x + 13) Reorder the terms: 6 + 1 + -3x = -1(5x + 13) Combine like terms: 6 + 1 = 7 7 + -3x = -1(5x + 13) Reorder the terms: 7 + -3x = -1(13 + 5x) 7 + -3x = (13 * -1 + 5x * -1) 7 + -3x = (-13 + -5x) Solving 7 + -3x = -13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -3x + 5x = -13 + -5x + 5x Combine like terms: -3x + 5x = 2x 7 + 2x = -13 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 2x = -13 + 0 7 + 2x = -13 Add '-7' to each side of the equation. 7 + -7 + 2x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -13 + -7 2x = -13 + -7 Combine like terms: -13 + -7 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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