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Simplifying 7(1 + 3x) = 33 + 8x (1 * 7 + 3x * 7) = 33 + 8x (7 + 21x) = 33 + 8x Solving 7 + 21x = 33 + 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. 7 + 21x + -8x = 33 + 8x + -8x Combine like terms: 21x + -8x = 13x 7 + 13x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 13x = 33 + 0 7 + 13x = 33 Add '-7' to each side of the equation. 7 + -7 + 13x = 33 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 33 + -7 13x = 33 + -7 Combine like terms: 33 + -7 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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