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Simplifying 2(x + 3) + 2 = 7x + -5(x + -4) Reorder the terms: 2(3 + x) + 2 = 7x + -5(x + -4) (3 * 2 + x * 2) + 2 = 7x + -5(x + -4) (6 + 2x) + 2 = 7x + -5(x + -4) Reorder the terms: 6 + 2 + 2x = 7x + -5(x + -4) Combine like terms: 6 + 2 = 8 8 + 2x = 7x + -5(x + -4) Reorder the terms: 8 + 2x = 7x + -5(-4 + x) 8 + 2x = 7x + (-4 * -5 + x * -5) 8 + 2x = 7x + (20 + -5x) Reorder the terms: 8 + 2x = 20 + 7x + -5x Combine like terms: 7x + -5x = 2x 8 + 2x = 20 + 2x Add '-2x' to each side of the equation. 8 + 2x + -2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 0 = 20 + 2x + -2x 8 = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 = 20 + 0 8 = 20 Solving 8 = 20 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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