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Simplifying -67 = -6(x + -1) + 5(-4x + 1) Reorder the terms: -67 = -6(-1 + x) + 5(-4x + 1) -67 = (-1 * -6 + x * -6) + 5(-4x + 1) -67 = (6 + -6x) + 5(-4x + 1) Reorder the terms: -67 = 6 + -6x + 5(1 + -4x) -67 = 6 + -6x + (1 * 5 + -4x * 5) -67 = 6 + -6x + (5 + -20x) Reorder the terms: -67 = 6 + 5 + -6x + -20x Combine like terms: 6 + 5 = 11 -67 = 11 + -6x + -20x Combine like terms: -6x + -20x = -26x -67 = 11 + -26x Solving -67 = 11 + -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. -67 + 26x = 11 + -26x + 26x Combine like terms: -26x + 26x = 0 -67 + 26x = 11 + 0 -67 + 26x = 11 Add '67' to each side of the equation. -67 + 67 + 26x = 11 + 67 Combine like terms: -67 + 67 = 0 0 + 26x = 11 + 67 26x = 11 + 67 Combine like terms: 11 + 67 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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