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Simplifying 6(x + -3) + 12(x + 9) = 18x + 9 Reorder the terms: 6(-3 + x) + 12(x + 9) = 18x + 9 (-3 * 6 + x * 6) + 12(x + 9) = 18x + 9 (-18 + 6x) + 12(x + 9) = 18x + 9 Reorder the terms: -18 + 6x + 12(9 + x) = 18x + 9 -18 + 6x + (9 * 12 + x * 12) = 18x + 9 -18 + 6x + (108 + 12x) = 18x + 9 Reorder the terms: -18 + 108 + 6x + 12x = 18x + 9 Combine like terms: -18 + 108 = 90 90 + 6x + 12x = 18x + 9 Combine like terms: 6x + 12x = 18x 90 + 18x = 18x + 9 Reorder the terms: 90 + 18x = 9 + 18x Add '-18x' to each side of the equation. 90 + 18x + -18x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 90 + 0 = 9 + 18x + -18x 90 = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 90 = 9 + 0 90 = 9 Solving 90 = 9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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