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Simplifying 3(4x + 5) = 6(2x + -3) + 7 Reorder the terms: 3(5 + 4x) = 6(2x + -3) + 7 (5 * 3 + 4x * 3) = 6(2x + -3) + 7 (15 + 12x) = 6(2x + -3) + 7 Reorder the terms: 15 + 12x = 6(-3 + 2x) + 7 15 + 12x = (-3 * 6 + 2x * 6) + 7 15 + 12x = (-18 + 12x) + 7 Reorder the terms: 15 + 12x = -18 + 7 + 12x Combine like terms: -18 + 7 = -11 15 + 12x = -11 + 12x Add '-12x' to each side of the equation. 15 + 12x + -12x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 0 = -11 + 12x + -12x 15 = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 15 = -11 + 0 15 = -11 Solving 15 = -11 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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