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Simplifying 10x + -2(3x + -6) = 4(3x + -6) + -8x Reorder the terms: 10x + -2(-6 + 3x) = 4(3x + -6) + -8x 10x + (-6 * -2 + 3x * -2) = 4(3x + -6) + -8x 10x + (12 + -6x) = 4(3x + -6) + -8x Reorder the terms: 12 + 10x + -6x = 4(3x + -6) + -8x Combine like terms: 10x + -6x = 4x 12 + 4x = 4(3x + -6) + -8x Reorder the terms: 12 + 4x = 4(-6 + 3x) + -8x 12 + 4x = (-6 * 4 + 3x * 4) + -8x 12 + 4x = (-24 + 12x) + -8x Combine like terms: 12x + -8x = 4x 12 + 4x = -24 + 4x Add '-4x' to each side of the equation. 12 + 4x + -4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 0 = -24 + 4x + -4x 12 = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 12 = -24 + 0 12 = -24 Solving 12 = -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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