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Simplifying (7x + 3x + -3) + -1(7x + 5) = 10 Reorder the terms: (-3 + 7x + 3x) + -1(7x + 5) = 10 Combine like terms: 7x + 3x = 10x (-3 + 10x) + -1(7x + 5) = 10 Remove parenthesis around (-3 + 10x) -3 + 10x + -1(7x + 5) = 10 Reorder the terms: -3 + 10x + -1(5 + 7x) = 10 -3 + 10x + (5 * -1 + 7x * -1) = 10 -3 + 10x + (-5 + -7x) = 10 Reorder the terms: -3 + -5 + 10x + -7x = 10 Combine like terms: -3 + -5 = -8 -8 + 10x + -7x = 10 Combine like terms: 10x + -7x = 3x -8 + 3x = 10 Solving -8 + 3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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