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Simplifying 6(x + 5) + 2 = 9x + -3(x + -5) Reorder the terms: 6(5 + x) + 2 = 9x + -3(x + -5) (5 * 6 + x * 6) + 2 = 9x + -3(x + -5) (30 + 6x) + 2 = 9x + -3(x + -5) Reorder the terms: 30 + 2 + 6x = 9x + -3(x + -5) Combine like terms: 30 + 2 = 32 32 + 6x = 9x + -3(x + -5) Reorder the terms: 32 + 6x = 9x + -3(-5 + x) 32 + 6x = 9x + (-5 * -3 + x * -3) 32 + 6x = 9x + (15 + -3x) Reorder the terms: 32 + 6x = 15 + 9x + -3x Combine like terms: 9x + -3x = 6x 32 + 6x = 15 + 6x Add '-6x' to each side of the equation. 32 + 6x + -6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 0 = 15 + 6x + -6x 32 = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 32 = 15 + 0 32 = 15 Solving 32 = 15 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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