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Simplifying 4(x + 5) + -9 = 2(2x + 3) + 1 Reorder the terms: 4(5 + x) + -9 = 2(2x + 3) + 1 (5 * 4 + x * 4) + -9 = 2(2x + 3) + 1 (20 + 4x) + -9 = 2(2x + 3) + 1 Reorder the terms: 20 + -9 + 4x = 2(2x + 3) + 1 Combine like terms: 20 + -9 = 11 11 + 4x = 2(2x + 3) + 1 Reorder the terms: 11 + 4x = 2(3 + 2x) + 1 11 + 4x = (3 * 2 + 2x * 2) + 1 11 + 4x = (6 + 4x) + 1 Reorder the terms: 11 + 4x = 6 + 1 + 4x Combine like terms: 6 + 1 = 7 11 + 4x = 7 + 4x Add '-4x' to each side of the equation. 11 + 4x + -4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 0 = 7 + 4x + -4x 11 = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 11 = 7 + 0 11 = 7 Solving 11 = 7 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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