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Simplifying (4x + 7) + (6x + -9) = 118 Reorder the terms: (7 + 4x) + (6x + -9) = 118 Remove parenthesis around (7 + 4x) 7 + 4x + (6x + -9) = 118 Reorder the terms: 7 + 4x + (-9 + 6x) = 118 Remove parenthesis around (-9 + 6x) 7 + 4x + -9 + 6x = 118 Reorder the terms: 7 + -9 + 4x + 6x = 118 Combine like terms: 7 + -9 = -2 -2 + 4x + 6x = 118 Combine like terms: 4x + 6x = 10x -2 + 10x = 118 Solving -2 + 10x = 118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10x = 118 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 118 + 2 10x = 118 + 2 Combine like terms: 118 + 2 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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