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Simplifying 7(6 + -2x) = 5(-3x + 1) + x (6 * 7 + -2x * 7) = 5(-3x + 1) + x (42 + -14x) = 5(-3x + 1) + x Reorder the terms: 42 + -14x = 5(1 + -3x) + x 42 + -14x = (1 * 5 + -3x * 5) + x 42 + -14x = (5 + -15x) + x Combine like terms: -15x + x = -14x 42 + -14x = 5 + -14x Add '14x' to each side of the equation. 42 + -14x + 14x = 5 + -14x + 14x Combine like terms: -14x + 14x = 0 42 + 0 = 5 + -14x + 14x 42 = 5 + -14x + 14x Combine like terms: -14x + 14x = 0 42 = 5 + 0 42 = 5 Solving 42 = 5 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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