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Simplifying 7x + 2(5 + -1x) = 3 + -2(x + -3) + -1(6 + -5x) + 2x 7x + (5 * 2 + -1x * 2) = 3 + -2(x + -3) + -1(6 + -5x) + 2x 7x + (10 + -2x) = 3 + -2(x + -3) + -1(6 + -5x) + 2x Reorder the terms: 10 + 7x + -2x = 3 + -2(x + -3) + -1(6 + -5x) + 2x Combine like terms: 7x + -2x = 5x 10 + 5x = 3 + -2(x + -3) + -1(6 + -5x) + 2x Reorder the terms: 10 + 5x = 3 + -2(-3 + x) + -1(6 + -5x) + 2x 10 + 5x = 3 + (-3 * -2 + x * -2) + -1(6 + -5x) + 2x 10 + 5x = 3 + (6 + -2x) + -1(6 + -5x) + 2x 10 + 5x = 3 + 6 + -2x + (6 * -1 + -5x * -1) + 2x 10 + 5x = 3 + 6 + -2x + (-6 + 5x) + 2x Reorder the terms: 10 + 5x = 3 + 6 + -6 + -2x + 5x + 2x Combine like terms: 3 + 6 = 9 10 + 5x = 9 + -6 + -2x + 5x + 2x Combine like terms: 9 + -6 = 3 10 + 5x = 3 + -2x + 5x + 2x Combine like terms: -2x + 5x = 3x 10 + 5x = 3 + 3x + 2x Combine like terms: 3x + 2x = 5x 10 + 5x = 3 + 5x Add '-5x' to each side of the equation. 10 + 5x + -5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 0 = 3 + 5x + -5x 10 = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 10 = 3 + 0 10 = 3 Solving 10 = 3 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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