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Simplifying 2x + -3(x + 5) = 8x + -9(x + 2) Reorder the terms: 2x + -3(5 + x) = 8x + -9(x + 2) 2x + (5 * -3 + x * -3) = 8x + -9(x + 2) 2x + (-15 + -3x) = 8x + -9(x + 2) Reorder the terms: -15 + 2x + -3x = 8x + -9(x + 2) Combine like terms: 2x + -3x = -1x -15 + -1x = 8x + -9(x + 2) Reorder the terms: -15 + -1x = 8x + -9(2 + x) -15 + -1x = 8x + (2 * -9 + x * -9) -15 + -1x = 8x + (-18 + -9x) Reorder the terms: -15 + -1x = -18 + 8x + -9x Combine like terms: 8x + -9x = -1x -15 + -1x = -18 + -1x Add 'x' to each side of the equation. -15 + -1x + x = -18 + -1x + x Combine like terms: -1x + x = 0 -15 + 0 = -18 + -1x + x -15 = -18 + -1x + x Combine like terms: -1x + x = 0 -15 = -18 + 0 -15 = -18 Solving -15 = -18 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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