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Simplifying 9(2x + -3) = 27(x + -7) Reorder the terms: 9(-3 + 2x) = 27(x + -7) (-3 * 9 + 2x * 9) = 27(x + -7) (-27 + 18x) = 27(x + -7) Reorder the terms: -27 + 18x = 27(-7 + x) -27 + 18x = (-7 * 27 + x * 27) -27 + 18x = (-189 + 27x) Solving -27 + 18x = -189 + 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. -27 + 18x + -27x = -189 + 27x + -27x Combine like terms: 18x + -27x = -9x -27 + -9x = -189 + 27x + -27x Combine like terms: 27x + -27x = 0 -27 + -9x = -189 + 0 -27 + -9x = -189 Add '27' to each side of the equation. -27 + 27 + -9x = -189 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = -189 + 27 -9x = -189 + 27 Combine like terms: -189 + 27 = -162 -9x = -162 Divide each side by '-9'. x = 18 Simplifying x = 18
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