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Simplifying 4(x + 5) + 11 = 8x + -4(x + -5) Reorder the terms: 4(5 + x) + 11 = 8x + -4(x + -5) (5 * 4 + x * 4) + 11 = 8x + -4(x + -5) (20 + 4x) + 11 = 8x + -4(x + -5) Reorder the terms: 20 + 11 + 4x = 8x + -4(x + -5) Combine like terms: 20 + 11 = 31 31 + 4x = 8x + -4(x + -5) Reorder the terms: 31 + 4x = 8x + -4(-5 + x) 31 + 4x = 8x + (-5 * -4 + x * -4) 31 + 4x = 8x + (20 + -4x) Reorder the terms: 31 + 4x = 20 + 8x + -4x Combine like terms: 8x + -4x = 4x 31 + 4x = 20 + 4x Add '-4x' to each side of the equation. 31 + 4x + -4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + 0 = 20 + 4x + -4x 31 = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 31 = 20 + 0 31 = 20 Solving 31 = 20 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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