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Simplifying 3(x + -9) = 9x + -45 Reorder the terms: 3(-9 + x) = 9x + -45 (-9 * 3 + x * 3) = 9x + -45 (-27 + 3x) = 9x + -45 Reorder the terms: -27 + 3x = -45 + 9x Solving -27 + 3x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -27 + 3x + -9x = -45 + 9x + -9x Combine like terms: 3x + -9x = -6x -27 + -6x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + -6x = -45 + 0 -27 + -6x = -45 Add '27' to each side of the equation. -27 + 27 + -6x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = -45 + 27 -6x = -45 + 27 Combine like terms: -45 + 27 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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