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Simplifying -6(x + 23) = -270 + 6x Reorder the terms: -6(23 + x) = -270 + 6x (23 * -6 + x * -6) = -270 + 6x (-138 + -6x) = -270 + 6x Solving -138 + -6x = -270 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -138 + -6x + -6x = -270 + 6x + -6x Combine like terms: -6x + -6x = -12x -138 + -12x = -270 + 6x + -6x Combine like terms: 6x + -6x = 0 -138 + -12x = -270 + 0 -138 + -12x = -270 Add '138' to each side of the equation. -138 + 138 + -12x = -270 + 138 Combine like terms: -138 + 138 = 0 0 + -12x = -270 + 138 -12x = -270 + 138 Combine like terms: -270 + 138 = -132 -12x = -132 Divide each side by '-12'. x = 11 Simplifying x = 11
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