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Simplifying 7(x + 5) + 5 = 10x + -3(x + -3) Reorder the terms: 7(5 + x) + 5 = 10x + -3(x + -3) (5 * 7 + x * 7) + 5 = 10x + -3(x + -3) (35 + 7x) + 5 = 10x + -3(x + -3) Reorder the terms: 35 + 5 + 7x = 10x + -3(x + -3) Combine like terms: 35 + 5 = 40 40 + 7x = 10x + -3(x + -3) Reorder the terms: 40 + 7x = 10x + -3(-3 + x) 40 + 7x = 10x + (-3 * -3 + x * -3) 40 + 7x = 10x + (9 + -3x) Reorder the terms: 40 + 7x = 9 + 10x + -3x Combine like terms: 10x + -3x = 7x 40 + 7x = 9 + 7x Add '-7x' to each side of the equation. 40 + 7x + -7x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 0 = 9 + 7x + -7x 40 = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 40 = 9 + 0 40 = 9 Solving 40 = 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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