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Simplifying 2(x + 4) + (5x) = 7(x + 4) + -5 Reorder the terms: 2(4 + x) + (5x) = 7(x + 4) + -5 (4 * 2 + x * 2) + (5x) = 7(x + 4) + -5 (8 + 2x) + (5x) = 7(x + 4) + -5 Combine like terms: 2x + (5x) = 7x 8 + 7x = 7(x + 4) + -5 Reorder the terms: 8 + 7x = 7(4 + x) + -5 8 + 7x = (4 * 7 + x * 7) + -5 8 + 7x = (28 + 7x) + -5 Reorder the terms: 8 + 7x = 28 + -5 + 7x Combine like terms: 28 + -5 = 23 8 + 7x = 23 + 7x Add '-7x' to each side of the equation. 8 + 7x + -7x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 0 = 23 + 7x + -7x 8 = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 8 = 23 + 0 8 = 23 Solving 8 = 23 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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