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Simplifying 3(3x + 1) = 2 + -1(x + 9) Reorder the terms: 3(1 + 3x) = 2 + -1(x + 9) (1 * 3 + 3x * 3) = 2 + -1(x + 9) (3 + 9x) = 2 + -1(x + 9) Reorder the terms: 3 + 9x = 2 + -1(9 + x) 3 + 9x = 2 + (9 * -1 + x * -1) 3 + 9x = 2 + (-9 + -1x) Combine like terms: 2 + -9 = -7 3 + 9x = -7 + -1x Solving 3 + 9x = -7 + -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. 3 + 9x + x = -7 + -1x + x Combine like terms: 9x + x = 10x 3 + 10x = -7 + -1x + x Combine like terms: -1x + x = 0 3 + 10x = -7 + 0 3 + 10x = -7 Add '-3' to each side of the equation. 3 + -3 + 10x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = -7 + -3 10x = -7 + -3 Combine like terms: -7 + -3 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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