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Simplifying 3(x + -6) + x = 4(x + -4) + 10 Reorder the terms: 3(-6 + x) + x = 4(x + -4) + 10 (-6 * 3 + x * 3) + x = 4(x + -4) + 10 (-18 + 3x) + x = 4(x + -4) + 10 Combine like terms: 3x + x = 4x -18 + 4x = 4(x + -4) + 10 Reorder the terms: -18 + 4x = 4(-4 + x) + 10 -18 + 4x = (-4 * 4 + x * 4) + 10 -18 + 4x = (-16 + 4x) + 10 Reorder the terms: -18 + 4x = -16 + 10 + 4x Combine like terms: -16 + 10 = -6 -18 + 4x = -6 + 4x Add '-4x' to each side of the equation. -18 + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 0 = -6 + 4x + -4x -18 = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 = -6 + 0 -18 = -6 Solving -18 = -6 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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