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Simplifying 7(x + 6) + 11 = 9x + -2(x + -3) Reorder the terms: 7(6 + x) + 11 = 9x + -2(x + -3) (6 * 7 + x * 7) + 11 = 9x + -2(x + -3) (42 + 7x) + 11 = 9x + -2(x + -3) Reorder the terms: 42 + 11 + 7x = 9x + -2(x + -3) Combine like terms: 42 + 11 = 53 53 + 7x = 9x + -2(x + -3) Reorder the terms: 53 + 7x = 9x + -2(-3 + x) 53 + 7x = 9x + (-3 * -2 + x * -2) 53 + 7x = 9x + (6 + -2x) Reorder the terms: 53 + 7x = 6 + 9x + -2x Combine like terms: 9x + -2x = 7x 53 + 7x = 6 + 7x Add '-7x' to each side of the equation. 53 + 7x + -7x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 53 + 0 = 6 + 7x + -7x 53 = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 53 = 6 + 0 53 = 6 Solving 53 = 6 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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