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Simplifying 7(x + 6) + 5 = 11x + -4(x + -3) Reorder the terms: 7(6 + x) + 5 = 11x + -4(x + -3) (6 * 7 + x * 7) + 5 = 11x + -4(x + -3) (42 + 7x) + 5 = 11x + -4(x + -3) Reorder the terms: 42 + 5 + 7x = 11x + -4(x + -3) Combine like terms: 42 + 5 = 47 47 + 7x = 11x + -4(x + -3) Reorder the terms: 47 + 7x = 11x + -4(-3 + x) 47 + 7x = 11x + (-3 * -4 + x * -4) 47 + 7x = 11x + (12 + -4x) Reorder the terms: 47 + 7x = 12 + 11x + -4x Combine like terms: 11x + -4x = 7x 47 + 7x = 12 + 7x Add '-7x' to each side of the equation. 47 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + 0 = 12 + 7x + -7x 47 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 47 = 12 + 0 47 = 12 Solving 47 = 12 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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