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Simplifying 3(5 + x) = 9x + 3(-2x + 8) (5 * 3 + x * 3) = 9x + 3(-2x + 8) (15 + 3x) = 9x + 3(-2x + 8) Reorder the terms: 15 + 3x = 9x + 3(8 + -2x) 15 + 3x = 9x + (8 * 3 + -2x * 3) 15 + 3x = 9x + (24 + -6x) Reorder the terms: 15 + 3x = 24 + 9x + -6x Combine like terms: 9x + -6x = 3x 15 + 3x = 24 + 3x Add '-3x' to each side of the equation. 15 + 3x + -3x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 0 = 24 + 3x + -3x 15 = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 15 = 24 + 0 15 = 24 Solving 15 = 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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