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Simplifying 7(x + 3) + -4 = 2x + 5(3 + x) Reorder the terms: 7(3 + x) + -4 = 2x + 5(3 + x) (3 * 7 + x * 7) + -4 = 2x + 5(3 + x) (21 + 7x) + -4 = 2x + 5(3 + x) Reorder the terms: 21 + -4 + 7x = 2x + 5(3 + x) Combine like terms: 21 + -4 = 17 17 + 7x = 2x + 5(3 + x) 17 + 7x = 2x + (3 * 5 + x * 5) 17 + 7x = 2x + (15 + 5x) Reorder the terms: 17 + 7x = 15 + 2x + 5x Combine like terms: 2x + 5x = 7x 17 + 7x = 15 + 7x Add '-7x' to each side of the equation. 17 + 7x + -7x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 0 = 15 + 7x + -7x 17 = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 17 = 15 + 0 17 = 15 Solving 17 = 15 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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