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Simplifying 6(x + 9) + 8 = 8x + -2(x + -3) Reorder the terms: 6(9 + x) + 8 = 8x + -2(x + -3) (9 * 6 + x * 6) + 8 = 8x + -2(x + -3) (54 + 6x) + 8 = 8x + -2(x + -3) Reorder the terms: 54 + 8 + 6x = 8x + -2(x + -3) Combine like terms: 54 + 8 = 62 62 + 6x = 8x + -2(x + -3) Reorder the terms: 62 + 6x = 8x + -2(-3 + x) 62 + 6x = 8x + (-3 * -2 + x * -2) 62 + 6x = 8x + (6 + -2x) Reorder the terms: 62 + 6x = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x 62 + 6x = 6 + 6x Add '-6x' to each side of the equation. 62 + 6x + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 62 + 0 = 6 + 6x + -6x 62 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 62 = 6 + 0 62 = 6 Solving 62 = 6 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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