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Simplifying 127 + 8x = -5(1 + -6x) 127 + 8x = (1 * -5 + -6x * -5) 127 + 8x = (-5 + 30x) Solving 127 + 8x = -5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 127 + 8x + -30x = -5 + 30x + -30x Combine like terms: 8x + -30x = -22x 127 + -22x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 127 + -22x = -5 + 0 127 + -22x = -5 Add '-127' to each side of the equation. 127 + -127 + -22x = -5 + -127 Combine like terms: 127 + -127 = 0 0 + -22x = -5 + -127 -22x = -5 + -127 Combine like terms: -5 + -127 = -132 -22x = -132 Divide each side by '-22'. x = 6 Simplifying x = 6
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