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Simplifying 122 = -5x + -3(-5x + -14) Reorder the terms: 122 = -5x + -3(-14 + -5x) 122 = -5x + (-14 * -3 + -5x * -3) 122 = -5x + (42 + 15x) Reorder the terms: 122 = 42 + -5x + 15x Combine like terms: -5x + 15x = 10x 122 = 42 + 10x Solving 122 = 42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 122 + -10x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 122 + -10x = 42 + 0 122 + -10x = 42 Add '-122' to each side of the equation. 122 + -122 + -10x = 42 + -122 Combine like terms: 122 + -122 = 0 0 + -10x = 42 + -122 -10x = 42 + -122 Combine like terms: 42 + -122 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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