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Simplifying 2(3x + -4) + -1(x + -8) = 3(4x + -2) + -7x + 10 Reorder the terms: 2(-4 + 3x) + -1(x + -8) = 3(4x + -2) + -7x + 10 (-4 * 2 + 3x * 2) + -1(x + -8) = 3(4x + -2) + -7x + 10 (-8 + 6x) + -1(x + -8) = 3(4x + -2) + -7x + 10 Reorder the terms: -8 + 6x + -1(-8 + x) = 3(4x + -2) + -7x + 10 -8 + 6x + (-8 * -1 + x * -1) = 3(4x + -2) + -7x + 10 -8 + 6x + (8 + -1x) = 3(4x + -2) + -7x + 10 Reorder the terms: -8 + 8 + 6x + -1x = 3(4x + -2) + -7x + 10 Combine like terms: -8 + 8 = 0 0 + 6x + -1x = 3(4x + -2) + -7x + 10 6x + -1x = 3(4x + -2) + -7x + 10 Combine like terms: 6x + -1x = 5x 5x = 3(4x + -2) + -7x + 10 Reorder the terms: 5x = 3(-2 + 4x) + -7x + 10 5x = (-2 * 3 + 4x * 3) + -7x + 10 5x = (-6 + 12x) + -7x + 10 Reorder the terms: 5x = -6 + 10 + 12x + -7x Combine like terms: -6 + 10 = 4 5x = 4 + 12x + -7x Combine like terms: 12x + -7x = 5x 5x = 4 + 5x Add '-5x' to each side of the equation. 5x + -5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 0 = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 0 = 4 + 0 0 = 4 Solving 0 = 4 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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