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Simplifying 10x + 5(x + 7) + 4 = 15x + 42 Reorder the terms: 10x + 5(7 + x) + 4 = 15x + 42 10x + (7 * 5 + x * 5) + 4 = 15x + 42 10x + (35 + 5x) + 4 = 15x + 42 Reorder the terms: 35 + 4 + 10x + 5x = 15x + 42 Combine like terms: 35 + 4 = 39 39 + 10x + 5x = 15x + 42 Combine like terms: 10x + 5x = 15x 39 + 15x = 15x + 42 Reorder the terms: 39 + 15x = 42 + 15x Add '-15x' to each side of the equation. 39 + 15x + -15x = 42 + 15x + -15x Combine like terms: 15x + -15x = 0 39 + 0 = 42 + 15x + -15x 39 = 42 + 15x + -15x Combine like terms: 15x + -15x = 0 39 = 42 + 0 39 = 42 Solving 39 = 42 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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