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Simplifying 3(3x + 1) = 2x + -1(8 + -2x) Reorder the terms: 3(1 + 3x) = 2x + -1(8 + -2x) (1 * 3 + 3x * 3) = 2x + -1(8 + -2x) (3 + 9x) = 2x + -1(8 + -2x) 3 + 9x = 2x + (8 * -1 + -2x * -1) 3 + 9x = 2x + (-8 + 2x) Reorder the terms: 3 + 9x = -8 + 2x + 2x Combine like terms: 2x + 2x = 4x 3 + 9x = -8 + 4x Solving 3 + 9x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 9x + -4x = -8 + 4x + -4x Combine like terms: 9x + -4x = 5x 3 + 5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 5x = -8 + 0 3 + 5x = -8 Add '-3' to each side of the equation. 3 + -3 + 5x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -8 + -3 5x = -8 + -3 Combine like terms: -8 + -3 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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