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Simplifying 2(x + 3) + 5(x + 3) = 7x + 12 Reorder the terms: 2(3 + x) + 5(x + 3) = 7x + 12 (3 * 2 + x * 2) + 5(x + 3) = 7x + 12 (6 + 2x) + 5(x + 3) = 7x + 12 Reorder the terms: 6 + 2x + 5(3 + x) = 7x + 12 6 + 2x + (3 * 5 + x * 5) = 7x + 12 6 + 2x + (15 + 5x) = 7x + 12 Reorder the terms: 6 + 15 + 2x + 5x = 7x + 12 Combine like terms: 6 + 15 = 21 21 + 2x + 5x = 7x + 12 Combine like terms: 2x + 5x = 7x 21 + 7x = 7x + 12 Reorder the terms: 21 + 7x = 12 + 7x Add '-7x' to each side of the equation. 21 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 0 = 12 + 7x + -7x 21 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 21 = 12 + 0 21 = 12 Solving 21 = 12 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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