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Simplifying 3(x + 4) + -1(x + 7) = 2x + 9 Reorder the terms: 3(4 + x) + -1(x + 7) = 2x + 9 (4 * 3 + x * 3) + -1(x + 7) = 2x + 9 (12 + 3x) + -1(x + 7) = 2x + 9 Reorder the terms: 12 + 3x + -1(7 + x) = 2x + 9 12 + 3x + (7 * -1 + x * -1) = 2x + 9 12 + 3x + (-7 + -1x) = 2x + 9 Reorder the terms: 12 + -7 + 3x + -1x = 2x + 9 Combine like terms: 12 + -7 = 5 5 + 3x + -1x = 2x + 9 Combine like terms: 3x + -1x = 2x 5 + 2x = 2x + 9 Reorder the terms: 5 + 2x = 9 + 2x Add '-2x' to each side of the equation. 5 + 2x + -2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 0 = 9 + 2x + -2x 5 = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 = 9 + 0 5 = 9 Solving 5 = 9 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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