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Simplifying 7(x + 2) = 5(x + -2) + 2(x + 2) Reorder the terms: 7(2 + x) = 5(x + -2) + 2(x + 2) (2 * 7 + x * 7) = 5(x + -2) + 2(x + 2) (14 + 7x) = 5(x + -2) + 2(x + 2) Reorder the terms: 14 + 7x = 5(-2 + x) + 2(x + 2) 14 + 7x = (-2 * 5 + x * 5) + 2(x + 2) 14 + 7x = (-10 + 5x) + 2(x + 2) Reorder the terms: 14 + 7x = -10 + 5x + 2(2 + x) 14 + 7x = -10 + 5x + (2 * 2 + x * 2) 14 + 7x = -10 + 5x + (4 + 2x) Reorder the terms: 14 + 7x = -10 + 4 + 5x + 2x Combine like terms: -10 + 4 = -6 14 + 7x = -6 + 5x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = -6 + 7x Add '-7x' to each side of the equation. 14 + 7x + -7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 0 = -6 + 7x + -7x 14 = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 14 = -6 + 0 14 = -6 Solving 14 = -6 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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