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Simplifying 2x + 3(x + 4) = 5(x + -3) + -9 Reorder the terms: 2x + 3(4 + x) = 5(x + -3) + -9 2x + (4 * 3 + x * 3) = 5(x + -3) + -9 2x + (12 + 3x) = 5(x + -3) + -9 Reorder the terms: 12 + 2x + 3x = 5(x + -3) + -9 Combine like terms: 2x + 3x = 5x 12 + 5x = 5(x + -3) + -9 Reorder the terms: 12 + 5x = 5(-3 + x) + -9 12 + 5x = (-3 * 5 + x * 5) + -9 12 + 5x = (-15 + 5x) + -9 Reorder the terms: 12 + 5x = -15 + -9 + 5x Combine like terms: -15 + -9 = -24 12 + 5x = -24 + 5x Add '-5x' to each side of the equation. 12 + 5x + -5x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 0 = -24 + 5x + -5x 12 = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 12 = -24 + 0 12 = -24 Solving 12 = -24 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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