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Simplifying 6(x + -6) + -7 = 26x + -123 Reorder the terms: 6(-6 + x) + -7 = 26x + -123 (-6 * 6 + x * 6) + -7 = 26x + -123 (-36 + 6x) + -7 = 26x + -123 Reorder the terms: -36 + -7 + 6x = 26x + -123 Combine like terms: -36 + -7 = -43 -43 + 6x = 26x + -123 Reorder the terms: -43 + 6x = -123 + 26x Solving -43 + 6x = -123 + 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. -43 + 6x + -26x = -123 + 26x + -26x Combine like terms: 6x + -26x = -20x -43 + -20x = -123 + 26x + -26x Combine like terms: 26x + -26x = 0 -43 + -20x = -123 + 0 -43 + -20x = -123 Add '43' to each side of the equation. -43 + 43 + -20x = -123 + 43 Combine like terms: -43 + 43 = 0 0 + -20x = -123 + 43 -20x = -123 + 43 Combine like terms: -123 + 43 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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