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Simplifying 7(x + 9) + 8 = 11x + -4(x + -6) Reorder the terms: 7(9 + x) + 8 = 11x + -4(x + -6) (9 * 7 + x * 7) + 8 = 11x + -4(x + -6) (63 + 7x) + 8 = 11x + -4(x + -6) Reorder the terms: 63 + 8 + 7x = 11x + -4(x + -6) Combine like terms: 63 + 8 = 71 71 + 7x = 11x + -4(x + -6) Reorder the terms: 71 + 7x = 11x + -4(-6 + x) 71 + 7x = 11x + (-6 * -4 + x * -4) 71 + 7x = 11x + (24 + -4x) Reorder the terms: 71 + 7x = 24 + 11x + -4x Combine like terms: 11x + -4x = 7x 71 + 7x = 24 + 7x Add '-7x' to each side of the equation. 71 + 7x + -7x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + 0 = 24 + 7x + -7x 71 = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 71 = 24 + 0 71 = 24 Solving 71 = 24 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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