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Simplifying 3x + -5(2x + -9) = 122 Reorder the terms: 3x + -5(-9 + 2x) = 122 3x + (-9 * -5 + 2x * -5) = 122 3x + (45 + -10x) = 122 Reorder the terms: 45 + 3x + -10x = 122 Combine like terms: 3x + -10x = -7x 45 + -7x = 122 Solving 45 + -7x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -7x = 122 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 122 + -45 -7x = 122 + -45 Combine like terms: 122 + -45 = 77 -7x = 77 Divide each side by '-7'. x = -11 Simplifying x = -11
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