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Simplifying 3(2x + 1) = 5x + -8x Reorder the terms: 3(1 + 2x) = 5x + -8x (1 * 3 + 2x * 3) = 5x + -8x (3 + 6x) = 5x + -8x Combine like terms: 5x + -8x = -3x 3 + 6x = -3x Solving 3 + 6x = -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. 3 + 6x + 3x = -3x + 3x Combine like terms: 6x + 3x = 9x 3 + 9x = -3x + 3x Combine like terms: -3x + 3x = 0 3 + 9x = 0 Add '-3' to each side of the equation. 3 + -3 + 9x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 0 + -3 9x = 0 + -3 Combine like terms: 0 + -3 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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