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Simplifying 7(x + 1) + 12 = 5(x + 1) + 2x Reorder the terms: 7(1 + x) + 12 = 5(x + 1) + 2x (1 * 7 + x * 7) + 12 = 5(x + 1) + 2x (7 + 7x) + 12 = 5(x + 1) + 2x Reorder the terms: 7 + 12 + 7x = 5(x + 1) + 2x Combine like terms: 7 + 12 = 19 19 + 7x = 5(x + 1) + 2x Reorder the terms: 19 + 7x = 5(1 + x) + 2x 19 + 7x = (1 * 5 + x * 5) + 2x 19 + 7x = (5 + 5x) + 2x Combine like terms: 5x + 2x = 7x 19 + 7x = 5 + 7x Add '-7x' to each side of the equation. 19 + 7x + -7x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + 0 = 5 + 7x + -7x 19 = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 19 = 5 + 0 19 = 5 Solving 19 = 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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