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Simplifying 6(5x + 2) = 36x + 10 + -2(3x + -6) Reorder the terms: 6(2 + 5x) = 36x + 10 + -2(3x + -6) (2 * 6 + 5x * 6) = 36x + 10 + -2(3x + -6) (12 + 30x) = 36x + 10 + -2(3x + -6) Reorder the terms: 12 + 30x = 36x + 10 + -2(-6 + 3x) 12 + 30x = 36x + 10 + (-6 * -2 + 3x * -2) 12 + 30x = 36x + 10 + (12 + -6x) Reorder the terms: 12 + 30x = 10 + 12 + 36x + -6x Combine like terms: 10 + 12 = 22 12 + 30x = 22 + 36x + -6x Combine like terms: 36x + -6x = 30x 12 + 30x = 22 + 30x Add '-30x' to each side of the equation. 12 + 30x + -30x = 22 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + 0 = 22 + 30x + -30x 12 = 22 + 30x + -30x Combine like terms: 30x + -30x = 0 12 = 22 + 0 12 = 22 Solving 12 = 22 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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