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Simplifying 3x + 2(x + 2) = 13 + -1(x + 2) Reorder the terms: 3x + 2(2 + x) = 13 + -1(x + 2) 3x + (2 * 2 + x * 2) = 13 + -1(x + 2) 3x + (4 + 2x) = 13 + -1(x + 2) Reorder the terms: 4 + 3x + 2x = 13 + -1(x + 2) Combine like terms: 3x + 2x = 5x 4 + 5x = 13 + -1(x + 2) Reorder the terms: 4 + 5x = 13 + -1(2 + x) 4 + 5x = 13 + (2 * -1 + x * -1) 4 + 5x = 13 + (-2 + -1x) Combine like terms: 13 + -2 = 11 4 + 5x = 11 + -1x Solving 4 + 5x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 5x + x = 11 + -1x + x Combine like terms: 5x + x = 6x 4 + 6x = 11 + -1x + x Combine like terms: -1x + x = 0 4 + 6x = 11 + 0 4 + 6x = 11 Add '-4' to each side of the equation. 4 + -4 + 6x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 11 + -4 6x = 11 + -4 Combine like terms: 11 + -4 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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