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Simplifying 7(x + 7) + 6 = 11x + -4(x + -4) Reorder the terms: 7(7 + x) + 6 = 11x + -4(x + -4) (7 * 7 + x * 7) + 6 = 11x + -4(x + -4) (49 + 7x) + 6 = 11x + -4(x + -4) Reorder the terms: 49 + 6 + 7x = 11x + -4(x + -4) Combine like terms: 49 + 6 = 55 55 + 7x = 11x + -4(x + -4) Reorder the terms: 55 + 7x = 11x + -4(-4 + x) 55 + 7x = 11x + (-4 * -4 + x * -4) 55 + 7x = 11x + (16 + -4x) Reorder the terms: 55 + 7x = 16 + 11x + -4x Combine like terms: 11x + -4x = 7x 55 + 7x = 16 + 7x Add '-7x' to each side of the equation. 55 + 7x + -7x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 0 = 16 + 7x + -7x 55 = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 55 = 16 + 0 55 = 16 Solving 55 = 16 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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