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Simplifying 3(2x + 5) = 6(x + -4) + 9 Reorder the terms: 3(5 + 2x) = 6(x + -4) + 9 (5 * 3 + 2x * 3) = 6(x + -4) + 9 (15 + 6x) = 6(x + -4) + 9 Reorder the terms: 15 + 6x = 6(-4 + x) + 9 15 + 6x = (-4 * 6 + x * 6) + 9 15 + 6x = (-24 + 6x) + 9 Reorder the terms: 15 + 6x = -24 + 9 + 6x Combine like terms: -24 + 9 = -15 15 + 6x = -15 + 6x Add '-6x' to each side of the equation. 15 + 6x + -6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 0 = -15 + 6x + -6x 15 = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 15 = -15 + 0 15 = -15 Solving 15 = -15 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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