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Simplifying 5(x + 7) + 11 = 8x + -3(x + -6) Reorder the terms: 5(7 + x) + 11 = 8x + -3(x + -6) (7 * 5 + x * 5) + 11 = 8x + -3(x + -6) (35 + 5x) + 11 = 8x + -3(x + -6) Reorder the terms: 35 + 11 + 5x = 8x + -3(x + -6) Combine like terms: 35 + 11 = 46 46 + 5x = 8x + -3(x + -6) Reorder the terms: 46 + 5x = 8x + -3(-6 + x) 46 + 5x = 8x + (-6 * -3 + x * -3) 46 + 5x = 8x + (18 + -3x) Reorder the terms: 46 + 5x = 18 + 8x + -3x Combine like terms: 8x + -3x = 5x 46 + 5x = 18 + 5x Add '-5x' to each side of the equation. 46 + 5x + -5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + 0 = 18 + 5x + -5x 46 = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 46 = 18 + 0 46 = 18 Solving 46 = 18 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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