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Simplifying 7(x + 7) + 10 = 10x + -3(x + -3) Reorder the terms: 7(7 + x) + 10 = 10x + -3(x + -3) (7 * 7 + x * 7) + 10 = 10x + -3(x + -3) (49 + 7x) + 10 = 10x + -3(x + -3) Reorder the terms: 49 + 10 + 7x = 10x + -3(x + -3) Combine like terms: 49 + 10 = 59 59 + 7x = 10x + -3(x + -3) Reorder the terms: 59 + 7x = 10x + -3(-3 + x) 59 + 7x = 10x + (-3 * -3 + x * -3) 59 + 7x = 10x + (9 + -3x) Reorder the terms: 59 + 7x = 9 + 10x + -3x Combine like terms: 10x + -3x = 7x 59 + 7x = 9 + 7x Add '-7x' to each side of the equation. 59 + 7x + -7x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 59 + 0 = 9 + 7x + -7x 59 = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 59 = 9 + 0 59 = 9 Solving 59 = 9 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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