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Simplifying 3x + -4(x + 6) = 2x + -3(x + -8) Reorder the terms: 3x + -4(6 + x) = 2x + -3(x + -8) 3x + (6 * -4 + x * -4) = 2x + -3(x + -8) 3x + (-24 + -4x) = 2x + -3(x + -8) Reorder the terms: -24 + 3x + -4x = 2x + -3(x + -8) Combine like terms: 3x + -4x = -1x -24 + -1x = 2x + -3(x + -8) Reorder the terms: -24 + -1x = 2x + -3(-8 + x) -24 + -1x = 2x + (-8 * -3 + x * -3) -24 + -1x = 2x + (24 + -3x) Reorder the terms: -24 + -1x = 24 + 2x + -3x Combine like terms: 2x + -3x = -1x -24 + -1x = 24 + -1x Add 'x' to each side of the equation. -24 + -1x + x = 24 + -1x + x Combine like terms: -1x + x = 0 -24 + 0 = 24 + -1x + x -24 = 24 + -1x + x Combine like terms: -1x + x = 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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