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Simplifying 3(6x + -7) = 27x Reorder the terms: 3(-7 + 6x) = 27x (-7 * 3 + 6x * 3) = 27x (-21 + 18x) = 27x Solving -21 + 18x = 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. -21 + 18x + -27x = 27x + -27x Combine like terms: 18x + -27x = -9x -21 + -9x = 27x + -27x Combine like terms: 27x + -27x = 0 -21 + -9x = 0 Add '21' to each side of the equation. -21 + 21 + -9x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 0 + 21 -9x = 0 + 21 Combine like terms: 0 + 21 = 21 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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