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Simplifying 5(2x + 1) + -3(x + 1) = 7x + 5 Reorder the terms: 5(1 + 2x) + -3(x + 1) = 7x + 5 (1 * 5 + 2x * 5) + -3(x + 1) = 7x + 5 (5 + 10x) + -3(x + 1) = 7x + 5 Reorder the terms: 5 + 10x + -3(1 + x) = 7x + 5 5 + 10x + (1 * -3 + x * -3) = 7x + 5 5 + 10x + (-3 + -3x) = 7x + 5 Reorder the terms: 5 + -3 + 10x + -3x = 7x + 5 Combine like terms: 5 + -3 = 2 2 + 10x + -3x = 7x + 5 Combine like terms: 10x + -3x = 7x 2 + 7x = 7x + 5 Reorder the terms: 2 + 7x = 5 + 7x Add '-7x' to each side of the equation. 2 + 7x + -7x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 0 = 5 + 7x + -7x 2 = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 2 = 5 + 0 2 = 5 Solving 2 = 5 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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