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Simplifying 3x + -27 = 3(1 + 6x) Reorder the terms: -27 + 3x = 3(1 + 6x) -27 + 3x = (1 * 3 + 6x * 3) -27 + 3x = (3 + 18x) Solving -27 + 3x = 3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -27 + 3x + -18x = 3 + 18x + -18x Combine like terms: 3x + -18x = -15x -27 + -15x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -27 + -15x = 3 + 0 -27 + -15x = 3 Add '27' to each side of the equation. -27 + 27 + -15x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + -15x = 3 + 27 -15x = 3 + 27 Combine like terms: 3 + 27 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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