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Simplifying -6(x + 9) = 3(x + 9) Reorder the terms: -6(9 + x) = 3(x + 9) (9 * -6 + x * -6) = 3(x + 9) (-54 + -6x) = 3(x + 9) Reorder the terms: -54 + -6x = 3(9 + x) -54 + -6x = (9 * 3 + x * 3) -54 + -6x = (27 + 3x) Solving -54 + -6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -54 + -6x + -3x = 27 + 3x + -3x Combine like terms: -6x + -3x = -9x -54 + -9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -54 + -9x = 27 + 0 -54 + -9x = 27 Add '54' to each side of the equation. -54 + 54 + -9x = 27 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = 27 + 54 -9x = 27 + 54 Combine like terms: 27 + 54 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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