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Simplifying 122 = -2x + -4(-7x + 2) Reorder the terms: 122 = -2x + -4(2 + -7x) 122 = -2x + (2 * -4 + -7x * -4) 122 = -2x + (-8 + 28x) Reorder the terms: 122 = -8 + -2x + 28x Combine like terms: -2x + 28x = 26x 122 = -8 + 26x Solving 122 = -8 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 122 + -26x = -8 + 26x + -26x Combine like terms: 26x + -26x = 0 122 + -26x = -8 + 0 122 + -26x = -8 Add '-122' to each side of the equation. 122 + -122 + -26x = -8 + -122 Combine like terms: 122 + -122 = 0 0 + -26x = -8 + -122 -26x = -8 + -122 Combine like terms: -8 + -122 = -130 -26x = -130 Divide each side by '-26'. x = 5 Simplifying x = 5
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