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