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Simplifying 4(x + -6) + -3(x + 6) = 6 + -7x + 8x + 6 Reorder the terms: 4(-6 + x) + -3(x + 6) = 6 + -7x + 8x + 6 (-6 * 4 + x * 4) + -3(x + 6) = 6 + -7x + 8x + 6 (-24 + 4x) + -3(x + 6) = 6 + -7x + 8x + 6 Reorder the terms: -24 + 4x + -3(6 + x) = 6 + -7x + 8x + 6 -24 + 4x + (6 * -3 + x * -3) = 6 + -7x + 8x + 6 -24 + 4x + (-18 + -3x) = 6 + -7x + 8x + 6 Reorder the terms: -24 + -18 + 4x + -3x = 6 + -7x + 8x + 6 Combine like terms: -24 + -18 = -42 -42 + 4x + -3x = 6 + -7x + 8x + 6 Combine like terms: 4x + -3x = 1x -42 + 1x = 6 + -7x + 8x + 6 Reorder the terms: -42 + 1x = 6 + 6 + -7x + 8x Combine like terms: 6 + 6 = 12 -42 + 1x = 12 + -7x + 8x Combine like terms: -7x + 8x = 1x -42 + 1x = 12 + 1x Add '-1x' to each side of the equation. -42 + 1x + -1x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -42 + 0 = 12 + 1x + -1x -42 = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -42 = 12 + 0 -42 = 12 Solving -42 = 12 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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