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Simplifying 7x + 27 = 3(3x + 1) Reorder the terms: 27 + 7x = 3(3x + 1) Reorder the terms: 27 + 7x = 3(1 + 3x) 27 + 7x = (1 * 3 + 3x * 3) 27 + 7x = (3 + 9x) Solving 27 + 7x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 7x + -9x = 3 + 9x + -9x Combine like terms: 7x + -9x = -2x 27 + -2x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -2x = 3 + 0 27 + -2x = 3 Add '-27' to each side of the equation. 27 + -27 + -2x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 3 + -27 -2x = 3 + -27 Combine like terms: 3 + -27 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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