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Simplifying 7(x + 7) + 8 = 10x + -3(x + -5) Reorder the terms: 7(7 + x) + 8 = 10x + -3(x + -5) (7 * 7 + x * 7) + 8 = 10x + -3(x + -5) (49 + 7x) + 8 = 10x + -3(x + -5) Reorder the terms: 49 + 8 + 7x = 10x + -3(x + -5) Combine like terms: 49 + 8 = 57 57 + 7x = 10x + -3(x + -5) Reorder the terms: 57 + 7x = 10x + -3(-5 + x) 57 + 7x = 10x + (-5 * -3 + x * -3) 57 + 7x = 10x + (15 + -3x) Reorder the terms: 57 + 7x = 15 + 10x + -3x Combine like terms: 10x + -3x = 7x 57 + 7x = 15 + 7x Add '-7x' to each side of the equation. 57 + 7x + -7x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 57 + 0 = 15 + 7x + -7x 57 = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 57 = 15 + 0 57 = 15 Solving 57 = 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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