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Simplifying 4x + -3(x + 8) = 5x + -2(x + -12) + -2x Reorder the terms: 4x + -3(8 + x) = 5x + -2(x + -12) + -2x 4x + (8 * -3 + x * -3) = 5x + -2(x + -12) + -2x 4x + (-24 + -3x) = 5x + -2(x + -12) + -2x Reorder the terms: -24 + 4x + -3x = 5x + -2(x + -12) + -2x Combine like terms: 4x + -3x = 1x -24 + 1x = 5x + -2(x + -12) + -2x Reorder the terms: -24 + 1x = 5x + -2(-12 + x) + -2x -24 + 1x = 5x + (-12 * -2 + x * -2) + -2x -24 + 1x = 5x + (24 + -2x) + -2x Reorder the terms: -24 + 1x = 24 + 5x + -2x + -2x Combine like terms: 5x + -2x = 3x -24 + 1x = 24 + 3x + -2x Combine like terms: 3x + -2x = 1x -24 + 1x = 24 + 1x Add '-1x' to each side of the equation. -24 + 1x + -1x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 -24 + 0 = 24 + 1x + -1x -24 = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 -24 = 24 + 0 -24 = 24 Solving -24 = 24 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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