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Simplifying 3(1 + 3x) = 2(4x + 7) (1 * 3 + 3x * 3) = 2(4x + 7) (3 + 9x) = 2(4x + 7) Reorder the terms: 3 + 9x = 2(7 + 4x) 3 + 9x = (7 * 2 + 4x * 2) 3 + 9x = (14 + 8x) Solving 3 + 9x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 9x + -8x = 14 + 8x + -8x Combine like terms: 9x + -8x = 1x 3 + 1x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 1x = 14 + 0 3 + 1x = 14 Add '-3' to each side of the equation. 3 + -3 + 1x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 14 + -3 1x = 14 + -3 Combine like terms: 14 + -3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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