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Simplifying 5x + 3 = 7(x + 9) + -2(x + 10) Reorder the terms: 3 + 5x = 7(x + 9) + -2(x + 10) Reorder the terms: 3 + 5x = 7(9 + x) + -2(x + 10) 3 + 5x = (9 * 7 + x * 7) + -2(x + 10) 3 + 5x = (63 + 7x) + -2(x + 10) Reorder the terms: 3 + 5x = 63 + 7x + -2(10 + x) 3 + 5x = 63 + 7x + (10 * -2 + x * -2) 3 + 5x = 63 + 7x + (-20 + -2x) Reorder the terms: 3 + 5x = 63 + -20 + 7x + -2x Combine like terms: 63 + -20 = 43 3 + 5x = 43 + 7x + -2x Combine like terms: 7x + -2x = 5x 3 + 5x = 43 + 5x Add '-5x' to each side of the equation. 3 + 5x + -5x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 0 = 43 + 5x + -5x 3 = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 3 = 43 + 0 3 = 43 Solving 3 = 43 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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