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Simplifying 3(x + 2) + -1 = 3 + -2(x + 7) Reorder the terms: 3(2 + x) + -1 = 3 + -2(x + 7) (2 * 3 + x * 3) + -1 = 3 + -2(x + 7) (6 + 3x) + -1 = 3 + -2(x + 7) Reorder the terms: 6 + -1 + 3x = 3 + -2(x + 7) Combine like terms: 6 + -1 = 5 5 + 3x = 3 + -2(x + 7) Reorder the terms: 5 + 3x = 3 + -2(7 + x) 5 + 3x = 3 + (7 * -2 + x * -2) 5 + 3x = 3 + (-14 + -2x) Combine like terms: 3 + -14 = -11 5 + 3x = -11 + -2x Solving 5 + 3x = -11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 3x + 2x = -11 + -2x + 2x Combine like terms: 3x + 2x = 5x 5 + 5x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 5x = -11 + 0 5 + 5x = -11 Add '-5' to each side of the equation. 5 + -5 + 5x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -11 + -5 5x = -11 + -5 Combine like terms: -11 + -5 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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