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Simplifying 3(2x + 1) + -1x = 8 + -4x + 6 Reorder the terms: 3(1 + 2x) + -1x = 8 + -4x + 6 (1 * 3 + 2x * 3) + -1x = 8 + -4x + 6 (3 + 6x) + -1x = 8 + -4x + 6 Combine like terms: 6x + -1x = 5x 3 + 5x = 8 + -4x + 6 Reorder the terms: 3 + 5x = 8 + 6 + -4x Combine like terms: 8 + 6 = 14 3 + 5x = 14 + -4x Solving 3 + 5x = 14 + -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 + 5x + 4x = 14 + -4x + 4x Combine like terms: 5x + 4x = 9x 3 + 9x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 9x = 14 + 0 3 + 9x = 14 Add '-3' to each side of the equation. 3 + -3 + 9x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 14 + -3 9x = 14 + -3 Combine like terms: 14 + -3 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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