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Simplifying 3(x + -3) = 45 + -6x Reorder the terms: 3(-3 + x) = 45 + -6x (-3 * 3 + x * 3) = 45 + -6x (-9 + 3x) = 45 + -6x Solving -9 + 3x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 3x + 6x = 45 + -6x + 6x Combine like terms: 3x + 6x = 9x -9 + 9x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 9x = 45 + 0 -9 + 9x = 45 Add '9' to each side of the equation. -9 + 9 + 9x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 45 + 9 9x = 45 + 9 Combine like terms: 45 + 9 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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