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Simplifying 10x + -2(x + -3) = 8(x + -2) + 6 Reorder the terms: 10x + -2(-3 + x) = 8(x + -2) + 6 10x + (-3 * -2 + x * -2) = 8(x + -2) + 6 10x + (6 + -2x) = 8(x + -2) + 6 Reorder the terms: 6 + 10x + -2x = 8(x + -2) + 6 Combine like terms: 10x + -2x = 8x 6 + 8x = 8(x + -2) + 6 Reorder the terms: 6 + 8x = 8(-2 + x) + 6 6 + 8x = (-2 * 8 + x * 8) + 6 6 + 8x = (-16 + 8x) + 6 Reorder the terms: 6 + 8x = -16 + 6 + 8x Combine like terms: -16 + 6 = -10 6 + 8x = -10 + 8x Add '-8x' to each side of the equation. 6 + 8x + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 0 = -10 + 8x + -8x 6 = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 6 = -10 + 0 6 = -10 Solving 6 = -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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