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Simplifying 3(x + 4) + 6 = 8x + -5(x + -5) Reorder the terms: 3(4 + x) + 6 = 8x + -5(x + -5) (4 * 3 + x * 3) + 6 = 8x + -5(x + -5) (12 + 3x) + 6 = 8x + -5(x + -5) Reorder the terms: 12 + 6 + 3x = 8x + -5(x + -5) Combine like terms: 12 + 6 = 18 18 + 3x = 8x + -5(x + -5) Reorder the terms: 18 + 3x = 8x + -5(-5 + x) 18 + 3x = 8x + (-5 * -5 + x * -5) 18 + 3x = 8x + (25 + -5x) Reorder the terms: 18 + 3x = 25 + 8x + -5x Combine like terms: 8x + -5x = 3x 18 + 3x = 25 + 3x Add '-3x' to each side of the equation. 18 + 3x + -3x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 0 = 25 + 3x + -3x 18 = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 18 = 25 + 0 18 = 25 Solving 18 = 25 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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