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Simplifying 5(x + 3) + 2 = 9x + -4(x + -3) Reorder the terms: 5(3 + x) + 2 = 9x + -4(x + -3) (3 * 5 + x * 5) + 2 = 9x + -4(x + -3) (15 + 5x) + 2 = 9x + -4(x + -3) Reorder the terms: 15 + 2 + 5x = 9x + -4(x + -3) Combine like terms: 15 + 2 = 17 17 + 5x = 9x + -4(x + -3) Reorder the terms: 17 + 5x = 9x + -4(-3 + x) 17 + 5x = 9x + (-3 * -4 + x * -4) 17 + 5x = 9x + (12 + -4x) Reorder the terms: 17 + 5x = 12 + 9x + -4x Combine like terms: 9x + -4x = 5x 17 + 5x = 12 + 5x Add '-5x' to each side of the equation. 17 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 0 = 12 + 5x + -5x 17 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 17 = 12 + 0 17 = 12 Solving 17 = 12 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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