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Simplifying 10x + -2(1x + 4) = 8(1x + -2) + 6 Reorder the terms: 10x + -2(4 + 1x) = 8(1x + -2) + 6 10x + (4 * -2 + 1x * -2) = 8(1x + -2) + 6 10x + (-8 + -2x) = 8(1x + -2) + 6 Reorder the terms: -8 + 10x + -2x = 8(1x + -2) + 6 Combine like terms: 10x + -2x = 8x -8 + 8x = 8(1x + -2) + 6 Reorder the terms: -8 + 8x = 8(-2 + 1x) + 6 -8 + 8x = (-2 * 8 + 1x * 8) + 6 -8 + 8x = (-16 + 8x) + 6 Reorder the terms: -8 + 8x = -16 + 6 + 8x Combine like terms: -16 + 6 = -10 -8 + 8x = -10 + 8x Add '-8x' to each side of the equation. -8 + 8x + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 0 = -10 + 8x + -8x -8 = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 = -10 + 0 -8 = -10 Solving -8 = -10 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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