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Simplifying (9x + -12) + (10x + -18) = 122 Reorder the terms: (-12 + 9x) + (10x + -18) = 122 Remove parenthesis around (-12 + 9x) -12 + 9x + (10x + -18) = 122 Reorder the terms: -12 + 9x + (-18 + 10x) = 122 Remove parenthesis around (-18 + 10x) -12 + 9x + -18 + 10x = 122 Reorder the terms: -12 + -18 + 9x + 10x = 122 Combine like terms: -12 + -18 = -30 -30 + 9x + 10x = 122 Combine like terms: 9x + 10x = 19x -30 + 19x = 122 Solving -30 + 19x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 19x = 122 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = 122 + 30 19x = 122 + 30 Combine like terms: 122 + 30 = 152 19x = 152 Divide each side by '19'. x = 8 Simplifying x = 8
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