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Simplifying -3(x + 6) = 6x + 45 Reorder the terms: -3(6 + x) = 6x + 45 (6 * -3 + x * -3) = 6x + 45 (-18 + -3x) = 6x + 45 Reorder the terms: -18 + -3x = 45 + 6x Solving -18 + -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. -18 + -3x + -6x = 45 + 6x + -6x Combine like terms: -3x + -6x = -9x -18 + -9x = 45 + 6x + -6x Combine like terms: 6x + -6x = 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 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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