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Simplifying 2(x + 3) + 8 = 1 + -1(3x + 7) Reorder the terms: 2(3 + x) + 8 = 1 + -1(3x + 7) (3 * 2 + x * 2) + 8 = 1 + -1(3x + 7) (6 + 2x) + 8 = 1 + -1(3x + 7) Reorder the terms: 6 + 8 + 2x = 1 + -1(3x + 7) Combine like terms: 6 + 8 = 14 14 + 2x = 1 + -1(3x + 7) Reorder the terms: 14 + 2x = 1 + -1(7 + 3x) 14 + 2x = 1 + (7 * -1 + 3x * -1) 14 + 2x = 1 + (-7 + -3x) Combine like terms: 1 + -7 = -6 14 + 2x = -6 + -3x Solving 14 + 2x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 2x + 3x = -6 + -3x + 3x Combine like terms: 2x + 3x = 5x 14 + 5x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 5x = -6 + 0 14 + 5x = -6 Add '-14' to each side of the equation. 14 + -14 + 5x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -6 + -14 5x = -6 + -14 Combine like terms: -6 + -14 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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