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Simplifying 7(x + 3) + 9 = 11x + -4(x + -5) Reorder the terms: 7(3 + x) + 9 = 11x + -4(x + -5) (3 * 7 + x * 7) + 9 = 11x + -4(x + -5) (21 + 7x) + 9 = 11x + -4(x + -5) Reorder the terms: 21 + 9 + 7x = 11x + -4(x + -5) Combine like terms: 21 + 9 = 30 30 + 7x = 11x + -4(x + -5) Reorder the terms: 30 + 7x = 11x + -4(-5 + x) 30 + 7x = 11x + (-5 * -4 + x * -4) 30 + 7x = 11x + (20 + -4x) Reorder the terms: 30 + 7x = 20 + 11x + -4x Combine like terms: 11x + -4x = 7x 30 + 7x = 20 + 7x Add '-7x' to each side of the equation. 30 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 0 = 20 + 7x + -7x 30 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 30 = 20 + 0 30 = 20 Solving 30 = 20 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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