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Simplifying -6(x + 6) = 3(x + 9) Reorder the terms: -6(6 + x) = 3(x + 9) (6 * -6 + x * -6) = 3(x + 9) (-36 + -6x) = 3(x + 9) Reorder the terms: -36 + -6x = 3(9 + x) -36 + -6x = (9 * 3 + x * 3) -36 + -6x = (27 + 3x) Solving -36 + -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. -36 + -6x + -3x = 27 + 3x + -3x Combine like terms: -6x + -3x = -9x -36 + -9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + -9x = 27 + 0 -36 + -9x = 27 Add '36' to each side of the equation. -36 + 36 + -9x = 27 + 36 Combine like terms: -36 + 36 = 0 0 + -9x = 27 + 36 -9x = 27 + 36 Combine like terms: 27 + 36 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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