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Simplifying 6(3x + 5) = 2(6x + -21) + 6x Reorder the terms: 6(5 + 3x) = 2(6x + -21) + 6x (5 * 6 + 3x * 6) = 2(6x + -21) + 6x (30 + 18x) = 2(6x + -21) + 6x Reorder the terms: 30 + 18x = 2(-21 + 6x) + 6x 30 + 18x = (-21 * 2 + 6x * 2) + 6x 30 + 18x = (-42 + 12x) + 6x Combine like terms: 12x + 6x = 18x 30 + 18x = -42 + 18x Add '-18x' to each side of the equation. 30 + 18x + -18x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + 0 = -42 + 18x + -18x 30 = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 30 = -42 + 0 30 = -42 Solving 30 = -42 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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