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Simplifying 7(x + 7) + 2 = 11x + -4(x + -5) Reorder the terms: 7(7 + x) + 2 = 11x + -4(x + -5) (7 * 7 + x * 7) + 2 = 11x + -4(x + -5) (49 + 7x) + 2 = 11x + -4(x + -5) Reorder the terms: 49 + 2 + 7x = 11x + -4(x + -5) Combine like terms: 49 + 2 = 51 51 + 7x = 11x + -4(x + -5) Reorder the terms: 51 + 7x = 11x + -4(-5 + x) 51 + 7x = 11x + (-5 * -4 + x * -4) 51 + 7x = 11x + (20 + -4x) Reorder the terms: 51 + 7x = 20 + 11x + -4x Combine like terms: 11x + -4x = 7x 51 + 7x = 20 + 7x Add '-7x' to each side of the equation. 51 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 51 + 0 = 20 + 7x + -7x 51 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 51 = 20 + 0 51 = 20 Solving 51 = 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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