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Simplifying 3(x + 5) = 27(3x + 1) Reorder the terms: 3(5 + x) = 27(3x + 1) (5 * 3 + x * 3) = 27(3x + 1) (15 + 3x) = 27(3x + 1) Reorder the terms: 15 + 3x = 27(1 + 3x) 15 + 3x = (1 * 27 + 3x * 27) 15 + 3x = (27 + 81x) Solving 15 + 3x = 27 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 15 + 3x + -81x = 27 + 81x + -81x Combine like terms: 3x + -81x = -78x 15 + -78x = 27 + 81x + -81x Combine like terms: 81x + -81x = 0 15 + -78x = 27 + 0 15 + -78x = 27 Add '-15' to each side of the equation. 15 + -15 + -78x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -78x = 27 + -15 -78x = 27 + -15 Combine like terms: 27 + -15 = 12 -78x = 12 Divide each side by '-78'. x = -0.1538461538 Simplifying x = -0.1538461538
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