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Simplifying 4x + 2(x + -5) = 7x + -1(6 + x) Reorder the terms: 4x + 2(-5 + x) = 7x + -1(6 + x) 4x + (-5 * 2 + x * 2) = 7x + -1(6 + x) 4x + (-10 + 2x) = 7x + -1(6 + x) Reorder the terms: -10 + 4x + 2x = 7x + -1(6 + x) Combine like terms: 4x + 2x = 6x -10 + 6x = 7x + -1(6 + x) -10 + 6x = 7x + (6 * -1 + x * -1) -10 + 6x = 7x + (-6 + -1x) Reorder the terms: -10 + 6x = -6 + 7x + -1x Combine like terms: 7x + -1x = 6x -10 + 6x = -6 + 6x Add '-6x' to each side of the equation. -10 + 6x + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 0 = -6 + 6x + -6x -10 = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 = -6 + 0 -10 = -6 Solving -10 = -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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