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Simplifying 3(-3x + 4) + -5x + -2 = 122 Reorder the terms: 3(4 + -3x) + -5x + -2 = 122 (4 * 3 + -3x * 3) + -5x + -2 = 122 (12 + -9x) + -5x + -2 = 122 Reorder the terms: 12 + -2 + -9x + -5x = 122 Combine like terms: 12 + -2 = 10 10 + -9x + -5x = 122 Combine like terms: -9x + -5x = -14x 10 + -14x = 122 Solving 10 + -14x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -14x = 122 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = 122 + -10 -14x = 122 + -10 Combine like terms: 122 + -10 = 112 -14x = 112 Divide each side by '-14'. x = -8 Simplifying x = -8
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