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Simplifying 3(1 + 2x) = 8 + -3x + 1 (1 * 3 + 2x * 3) = 8 + -3x + 1 (3 + 6x) = 8 + -3x + 1 Reorder the terms: 3 + 6x = 8 + 1 + -3x Combine like terms: 8 + 1 = 9 3 + 6x = 9 + -3x Solving 3 + 6x = 9 + -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 = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x 3 + 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 9x = 9 + 0 3 + 9x = 9 Add '-3' to each side of the equation. 3 + -3 + 9x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 9 + -3 9x = 9 + -3 Combine like terms: 9 + -3 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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