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Simplifying 6(x + 3) + 7 = 8x + -2(x + -5) Reorder the terms: 6(3 + x) + 7 = 8x + -2(x + -5) (3 * 6 + x * 6) + 7 = 8x + -2(x + -5) (18 + 6x) + 7 = 8x + -2(x + -5) Reorder the terms: 18 + 7 + 6x = 8x + -2(x + -5) Combine like terms: 18 + 7 = 25 25 + 6x = 8x + -2(x + -5) Reorder the terms: 25 + 6x = 8x + -2(-5 + x) 25 + 6x = 8x + (-5 * -2 + x * -2) 25 + 6x = 8x + (10 + -2x) Reorder the terms: 25 + 6x = 10 + 8x + -2x Combine like terms: 8x + -2x = 6x 25 + 6x = 10 + 6x Add '-6x' to each side of the equation. 25 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 0 = 10 + 6x + -6x 25 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 25 = 10 + 0 25 = 10 Solving 25 = 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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