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Simplifying 6x + -2(x + -4) = 5(x + -1) + -1(x + 3) Reorder the terms: 6x + -2(-4 + x) = 5(x + -1) + -1(x + 3) 6x + (-4 * -2 + x * -2) = 5(x + -1) + -1(x + 3) 6x + (8 + -2x) = 5(x + -1) + -1(x + 3) Reorder the terms: 8 + 6x + -2x = 5(x + -1) + -1(x + 3) Combine like terms: 6x + -2x = 4x 8 + 4x = 5(x + -1) + -1(x + 3) Reorder the terms: 8 + 4x = 5(-1 + x) + -1(x + 3) 8 + 4x = (-1 * 5 + x * 5) + -1(x + 3) 8 + 4x = (-5 + 5x) + -1(x + 3) Reorder the terms: 8 + 4x = -5 + 5x + -1(3 + x) 8 + 4x = -5 + 5x + (3 * -1 + x * -1) 8 + 4x = -5 + 5x + (-3 + -1x) Reorder the terms: 8 + 4x = -5 + -3 + 5x + -1x Combine like terms: -5 + -3 = -8 8 + 4x = -8 + 5x + -1x Combine like terms: 5x + -1x = 4x 8 + 4x = -8 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = -8 + 4x + -4x 8 = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = -8 + 0 8 = -8 Solving 8 = -8 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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