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Simplifying 5(x + 3) + 31 = 9x + -4(x + 2) Reorder the terms: 5(3 + x) + 31 = 9x + -4(x + 2) (3 * 5 + x * 5) + 31 = 9x + -4(x + 2) (15 + 5x) + 31 = 9x + -4(x + 2) Reorder the terms: 15 + 31 + 5x = 9x + -4(x + 2) Combine like terms: 15 + 31 = 46 46 + 5x = 9x + -4(x + 2) Reorder the terms: 46 + 5x = 9x + -4(2 + x) 46 + 5x = 9x + (2 * -4 + x * -4) 46 + 5x = 9x + (-8 + -4x) Reorder the terms: 46 + 5x = -8 + 9x + -4x Combine like terms: 9x + -4x = 5x 46 + 5x = -8 + 5x Add '-5x' to each side of the equation. 46 + 5x + -5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + 0 = -8 + 5x + -5x 46 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 46 = -8 + 0 46 = -8 Solving 46 = -8 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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