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Simplifying 5(x + 6) + 11 = 7x + -2(x + -4) Reorder the terms: 5(6 + x) + 11 = 7x + -2(x + -4) (6 * 5 + x * 5) + 11 = 7x + -2(x + -4) (30 + 5x) + 11 = 7x + -2(x + -4) Reorder the terms: 30 + 11 + 5x = 7x + -2(x + -4) Combine like terms: 30 + 11 = 41 41 + 5x = 7x + -2(x + -4) Reorder the terms: 41 + 5x = 7x + -2(-4 + x) 41 + 5x = 7x + (-4 * -2 + x * -2) 41 + 5x = 7x + (8 + -2x) Reorder the terms: 41 + 5x = 8 + 7x + -2x Combine like terms: 7x + -2x = 5x 41 + 5x = 8 + 5x Add '-5x' to each side of the equation. 41 + 5x + -5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + 0 = 8 + 5x + -5x 41 = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 41 = 8 + 0 41 = 8 Solving 41 = 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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