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Simplifying 9x + -12(6 + -1x) = 45 + -18x 9x + (6 * -12 + -1x * -12) = 45 + -18x 9x + (-72 + 12x) = 45 + -18x Reorder the terms: -72 + 9x + 12x = 45 + -18x Combine like terms: 9x + 12x = 21x -72 + 21x = 45 + -18x Solving -72 + 21x = 45 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -72 + 21x + 18x = 45 + -18x + 18x Combine like terms: 21x + 18x = 39x -72 + 39x = 45 + -18x + 18x Combine like terms: -18x + 18x = 0 -72 + 39x = 45 + 0 -72 + 39x = 45 Add '72' to each side of the equation. -72 + 72 + 39x = 45 + 72 Combine like terms: -72 + 72 = 0 0 + 39x = 45 + 72 39x = 45 + 72 Combine like terms: 45 + 72 = 117 39x = 117 Divide each side by '39'. x = 3 Simplifying x = 3
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