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Simplifying 3(6x + 5) + -2(3x + -9) = 6(2x + 1) Reorder the terms: 3(5 + 6x) + -2(3x + -9) = 6(2x + 1) (5 * 3 + 6x * 3) + -2(3x + -9) = 6(2x + 1) (15 + 18x) + -2(3x + -9) = 6(2x + 1) Reorder the terms: 15 + 18x + -2(-9 + 3x) = 6(2x + 1) 15 + 18x + (-9 * -2 + 3x * -2) = 6(2x + 1) 15 + 18x + (18 + -6x) = 6(2x + 1) Reorder the terms: 15 + 18 + 18x + -6x = 6(2x + 1) Combine like terms: 15 + 18 = 33 33 + 18x + -6x = 6(2x + 1) Combine like terms: 18x + -6x = 12x 33 + 12x = 6(2x + 1) Reorder the terms: 33 + 12x = 6(1 + 2x) 33 + 12x = (1 * 6 + 2x * 6) 33 + 12x = (6 + 12x) Add '-12x' to each side of the equation. 33 + 12x + -12x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + 0 = 6 + 12x + -12x 33 = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 33 = 6 + 0 33 = 6 Solving 33 = 6 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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