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Simplifying 6(x + 6) + 8 = 10x + -4(x + -3) Reorder the terms: 6(6 + x) + 8 = 10x + -4(x + -3) (6 * 6 + x * 6) + 8 = 10x + -4(x + -3) (36 + 6x) + 8 = 10x + -4(x + -3) Reorder the terms: 36 + 8 + 6x = 10x + -4(x + -3) Combine like terms: 36 + 8 = 44 44 + 6x = 10x + -4(x + -3) Reorder the terms: 44 + 6x = 10x + -4(-3 + x) 44 + 6x = 10x + (-3 * -4 + x * -4) 44 + 6x = 10x + (12 + -4x) Reorder the terms: 44 + 6x = 12 + 10x + -4x Combine like terms: 10x + -4x = 6x 44 + 6x = 12 + 6x Add '-6x' to each side of the equation. 44 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 44 + 0 = 12 + 6x + -6x 44 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 44 = 12 + 0 44 = 12 Solving 44 = 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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