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Simplifying (4x + -9) + (7x + -23) = 67 Reorder the terms: (-9 + 4x) + (7x + -23) = 67 Remove parenthesis around (-9 + 4x) -9 + 4x + (7x + -23) = 67 Reorder the terms: -9 + 4x + (-23 + 7x) = 67 Remove parenthesis around (-23 + 7x) -9 + 4x + -23 + 7x = 67 Reorder the terms: -9 + -23 + 4x + 7x = 67 Combine like terms: -9 + -23 = -32 -32 + 4x + 7x = 67 Combine like terms: 4x + 7x = 11x -32 + 11x = 67 Solving -32 + 11x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11x = 67 + 32 Combine like terms: -32 + 32 = 0 0 + 11x = 67 + 32 11x = 67 + 32 Combine like terms: 67 + 32 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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