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Simplifying 7(x + 3) + 10 = 9x + -2(x + -5) Reorder the terms: 7(3 + x) + 10 = 9x + -2(x + -5) (3 * 7 + x * 7) + 10 = 9x + -2(x + -5) (21 + 7x) + 10 = 9x + -2(x + -5) Reorder the terms: 21 + 10 + 7x = 9x + -2(x + -5) Combine like terms: 21 + 10 = 31 31 + 7x = 9x + -2(x + -5) Reorder the terms: 31 + 7x = 9x + -2(-5 + x) 31 + 7x = 9x + (-5 * -2 + x * -2) 31 + 7x = 9x + (10 + -2x) Reorder the terms: 31 + 7x = 10 + 9x + -2x Combine like terms: 9x + -2x = 7x 31 + 7x = 10 + 7x Add '-7x' to each side of the equation. 31 + 7x + -7x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + 0 = 10 + 7x + -7x 31 = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 31 = 10 + 0 31 = 10 Solving 31 = 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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