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Simplifying 6(x + -6) = 45 + -3x Reorder the terms: 6(-6 + x) = 45 + -3x (-6 * 6 + x * 6) = 45 + -3x (-36 + 6x) = 45 + -3x Solving -36 + 6x = 45 + -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 = 45 + -3x + 3x Combine like terms: 6x + 3x = 9x -36 + 9x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 9x = 45 + 0 -36 + 9x = 45 Add '36' to each side of the equation. -36 + 36 + 9x = 45 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 45 + 36 9x = 45 + 36 Combine like terms: 45 + 36 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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