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Simplifying 5(x + 4) + 11 = 7x + -2(x + -6) Reorder the terms: 5(4 + x) + 11 = 7x + -2(x + -6) (4 * 5 + x * 5) + 11 = 7x + -2(x + -6) (20 + 5x) + 11 = 7x + -2(x + -6) Reorder the terms: 20 + 11 + 5x = 7x + -2(x + -6) Combine like terms: 20 + 11 = 31 31 + 5x = 7x + -2(x + -6) Reorder the terms: 31 + 5x = 7x + -2(-6 + x) 31 + 5x = 7x + (-6 * -2 + x * -2) 31 + 5x = 7x + (12 + -2x) Reorder the terms: 31 + 5x = 12 + 7x + -2x Combine like terms: 7x + -2x = 5x 31 + 5x = 12 + 5x Add '-5x' to each side of the equation. 31 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + 0 = 12 + 5x + -5x 31 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 31 = 12 + 0 31 = 12 Solving 31 = 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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