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Simplifying 2(x + 3) + -7x = 18 + -5(x + 4) Reorder the terms: 2(3 + x) + -7x = 18 + -5(x + 4) (3 * 2 + x * 2) + -7x = 18 + -5(x + 4) (6 + 2x) + -7x = 18 + -5(x + 4) Combine like terms: 2x + -7x = -5x 6 + -5x = 18 + -5(x + 4) Reorder the terms: 6 + -5x = 18 + -5(4 + x) 6 + -5x = 18 + (4 * -5 + x * -5) 6 + -5x = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 6 + -5x = -2 + -5x Add '5x' to each side of the equation. 6 + -5x + 5x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 0 = -2 + -5x + 5x 6 = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 6 = -2 + 0 6 = -2 Solving 6 = -2 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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