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Simplifying 4(x + 9) + 11 = 7x + -3(x + -6) Reorder the terms: 4(9 + x) + 11 = 7x + -3(x + -6) (9 * 4 + x * 4) + 11 = 7x + -3(x + -6) (36 + 4x) + 11 = 7x + -3(x + -6) Reorder the terms: 36 + 11 + 4x = 7x + -3(x + -6) Combine like terms: 36 + 11 = 47 47 + 4x = 7x + -3(x + -6) Reorder the terms: 47 + 4x = 7x + -3(-6 + x) 47 + 4x = 7x + (-6 * -3 + x * -3) 47 + 4x = 7x + (18 + -3x) Reorder the terms: 47 + 4x = 18 + 7x + -3x Combine like terms: 7x + -3x = 4x 47 + 4x = 18 + 4x Add '-4x' to each side of the equation. 47 + 4x + -4x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + 0 = 18 + 4x + -4x 47 = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 47 = 18 + 0 47 = 18 Solving 47 = 18 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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