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Simplifying 3x + 7x + 5 = 4(x + 1) + x + 5x + 5 Reorder the terms: 5 + 3x + 7x = 4(x + 1) + x + 5x + 5 Combine like terms: 3x + 7x = 10x 5 + 10x = 4(x + 1) + x + 5x + 5 Reorder the terms: 5 + 10x = 4(1 + x) + x + 5x + 5 5 + 10x = (1 * 4 + x * 4) + x + 5x + 5 5 + 10x = (4 + 4x) + x + 5x + 5 Reorder the terms: 5 + 10x = 4 + 5 + 4x + x + 5x Combine like terms: 4 + 5 = 9 5 + 10x = 9 + 4x + x + 5x Combine like terms: 4x + x = 5x 5 + 10x = 9 + 5x + 5x Combine like terms: 5x + 5x = 10x 5 + 10x = 9 + 10x Add '-10x' to each side of the equation. 5 + 10x + -10x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 0 = 9 + 10x + -10x 5 = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 5 = 9 + 0 5 = 9 Solving 5 = 9 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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