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Simplifying x + 2(x + -4) = 5(x + 1) + -2(x + 6) Reorder the terms: x + 2(-4 + x) = 5(x + 1) + -2(x + 6) x + (-4 * 2 + x * 2) = 5(x + 1) + -2(x + 6) x + (-8 + 2x) = 5(x + 1) + -2(x + 6) Reorder the terms: -8 + x + 2x = 5(x + 1) + -2(x + 6) Combine like terms: x + 2x = 3x -8 + 3x = 5(x + 1) + -2(x + 6) Reorder the terms: -8 + 3x = 5(1 + x) + -2(x + 6) -8 + 3x = (1 * 5 + x * 5) + -2(x + 6) -8 + 3x = (5 + 5x) + -2(x + 6) Reorder the terms: -8 + 3x = 5 + 5x + -2(6 + x) -8 + 3x = 5 + 5x + (6 * -2 + x * -2) -8 + 3x = 5 + 5x + (-12 + -2x) Reorder the terms: -8 + 3x = 5 + -12 + 5x + -2x Combine like terms: 5 + -12 = -7 -8 + 3x = -7 + 5x + -2x Combine like terms: 5x + -2x = 3x -8 + 3x = -7 + 3x Add '-3x' to each side of the equation. -8 + 3x + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 0 = -7 + 3x + -3x -8 = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 = -7 + 0 -8 = -7 Solving -8 = -7 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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