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Simplifying 3(x + 2) + -5(3 + 2x) = 15 + -7x Reorder the terms: 3(2 + x) + -5(3 + 2x) = 15 + -7x (2 * 3 + x * 3) + -5(3 + 2x) = 15 + -7x (6 + 3x) + -5(3 + 2x) = 15 + -7x 6 + 3x + (3 * -5 + 2x * -5) = 15 + -7x 6 + 3x + (-15 + -10x) = 15 + -7x Reorder the terms: 6 + -15 + 3x + -10x = 15 + -7x Combine like terms: 6 + -15 = -9 -9 + 3x + -10x = 15 + -7x Combine like terms: 3x + -10x = -7x -9 + -7x = 15 + -7x Add '7x' to each side of the equation. -9 + -7x + 7x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 0 = 15 + -7x + 7x -9 = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 = 15 + 0 -9 = 15 Solving -9 = 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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