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Simplifying 127 = -5 + 4(1 + 8x) 127 = -5 + (1 * 4 + 8x * 4) 127 = -5 + (4 + 32x) Combine like terms: -5 + 4 = -1 127 = -1 + 32x Solving 127 = -1 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 127 + -32x = -1 + 32x + -32x Combine like terms: 32x + -32x = 0 127 + -32x = -1 + 0 127 + -32x = -1 Add '-127' to each side of the equation. 127 + -127 + -32x = -1 + -127 Combine like terms: 127 + -127 = 0 0 + -32x = -1 + -127 -32x = -1 + -127 Combine like terms: -1 + -127 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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