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Simplifying -6(x + -3) = 45 + 3x Reorder the terms: -6(-3 + x) = 45 + 3x (-3 * -6 + x * -6) = 45 + 3x (18 + -6x) = 45 + 3x Solving 18 + -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. 18 + -6x + -3x = 45 + 3x + -3x Combine like terms: -6x + -3x = -9x 18 + -9x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -9x = 45 + 0 18 + -9x = 45 Add '-18' to each side of the equation. 18 + -18 + -9x = 45 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 45 + -18 -9x = 45 + -18 Combine like terms: 45 + -18 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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