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Simplifying 6(x + 3) + 9 = 8x + -2(x + -3) Reorder the terms: 6(3 + x) + 9 = 8x + -2(x + -3) (3 * 6 + x * 6) + 9 = 8x + -2(x + -3) (18 + 6x) + 9 = 8x + -2(x + -3) Reorder the terms: 18 + 9 + 6x = 8x + -2(x + -3) Combine like terms: 18 + 9 = 27 27 + 6x = 8x + -2(x + -3) Reorder the terms: 27 + 6x = 8x + -2(-3 + x) 27 + 6x = 8x + (-3 * -2 + x * -2) 27 + 6x = 8x + (6 + -2x) Reorder the terms: 27 + 6x = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x 27 + 6x = 6 + 6x Add '-6x' to each side of the equation. 27 + 6x + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 0 = 6 + 6x + -6x 27 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 27 = 6 + 0 27 = 6 Solving 27 = 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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