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Simplifying 122 = x + -8(1 + -8x) 122 = x + (1 * -8 + -8x * -8) 122 = x + (-8 + 64x) Reorder the terms: 122 = -8 + x + 64x Combine like terms: x + 64x = 65x 122 = -8 + 65x Solving 122 = -8 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 122 + -65x = -8 + 65x + -65x Combine like terms: 65x + -65x = 0 122 + -65x = -8 + 0 122 + -65x = -8 Add '-122' to each side of the equation. 122 + -122 + -65x = -8 + -122 Combine like terms: 122 + -122 = 0 0 + -65x = -8 + -122 -65x = -8 + -122 Combine like terms: -8 + -122 = -130 -65x = -130 Divide each side by '-65'. x = 2 Simplifying x = 2
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