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Simplifying 6(x + 1) + 9 = 2x + 4(5 + x) Reorder the terms: 6(1 + x) + 9 = 2x + 4(5 + x) (1 * 6 + x * 6) + 9 = 2x + 4(5 + x) (6 + 6x) + 9 = 2x + 4(5 + x) Reorder the terms: 6 + 9 + 6x = 2x + 4(5 + x) Combine like terms: 6 + 9 = 15 15 + 6x = 2x + 4(5 + x) 15 + 6x = 2x + (5 * 4 + x * 4) 15 + 6x = 2x + (20 + 4x) Reorder the terms: 15 + 6x = 20 + 2x + 4x Combine like terms: 2x + 4x = 6x 15 + 6x = 20 + 6x Add '-6x' to each side of the equation. 15 + 6x + -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 0 = 20 + 6x + -6x 15 = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 15 = 20 + 0 15 = 20 Solving 15 = 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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