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Simplifying 4(x + -5) + 8 = 6x + -2(5 + x) Reorder the terms: 4(-5 + x) + 8 = 6x + -2(5 + x) (-5 * 4 + x * 4) + 8 = 6x + -2(5 + x) (-20 + 4x) + 8 = 6x + -2(5 + x) Reorder the terms: -20 + 8 + 4x = 6x + -2(5 + x) Combine like terms: -20 + 8 = -12 -12 + 4x = 6x + -2(5 + x) -12 + 4x = 6x + (5 * -2 + x * -2) -12 + 4x = 6x + (-10 + -2x) Reorder the terms: -12 + 4x = -10 + 6x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = -10 + 4x Add '-4x' to each side of the equation. -12 + 4x + -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 0 = -10 + 4x + -4x -12 = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 = -10 + 0 -12 = -10 Solving -12 = -10 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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