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Simplifying 7(3x + 5) = 27x + 11 Reorder the terms: 7(5 + 3x) = 27x + 11 (5 * 7 + 3x * 7) = 27x + 11 (35 + 21x) = 27x + 11 Reorder the terms: 35 + 21x = 11 + 27x Solving 35 + 21x = 11 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 35 + 21x + -27x = 11 + 27x + -27x Combine like terms: 21x + -27x = -6x 35 + -6x = 11 + 27x + -27x Combine like terms: 27x + -27x = 0 35 + -6x = 11 + 0 35 + -6x = 11 Add '-35' to each side of the equation. 35 + -35 + -6x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = 11 + -35 -6x = 11 + -35 Combine like terms: 11 + -35 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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