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Simplifying (3x + -38) + (7x + -95) = 47 Reorder the terms: (-38 + 3x) + (7x + -95) = 47 Remove parenthesis around (-38 + 3x) -38 + 3x + (7x + -95) = 47 Reorder the terms: -38 + 3x + (-95 + 7x) = 47 Remove parenthesis around (-95 + 7x) -38 + 3x + -95 + 7x = 47 Reorder the terms: -38 + -95 + 3x + 7x = 47 Combine like terms: -38 + -95 = -133 -133 + 3x + 7x = 47 Combine like terms: 3x + 7x = 10x -133 + 10x = 47 Solving -133 + 10x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '133' to each side of the equation. -133 + 133 + 10x = 47 + 133 Combine like terms: -133 + 133 = 0 0 + 10x = 47 + 133 10x = 47 + 133 Combine like terms: 47 + 133 = 180 10x = 180 Divide each side by '10'. x = 18 Simplifying x = 18
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