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