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Simplifying -26 = -8x + 6(x + -7) Reorder the terms: -26 = -8x + 6(-7 + x) -26 = -8x + (-7 * 6 + x * 6) -26 = -8x + (-42 + 6x) Reorder the terms: -26 = -42 + -8x + 6x Combine like terms: -8x + 6x = -2x -26 = -42 + -2x Solving -26 = -42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -26 + 2x = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 2x = -42 + 0 -26 + 2x = -42 Add '26' to each side of the equation. -26 + 26 + 2x = -42 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -42 + 26 2x = -42 + 26 Combine like terms: -42 + 26 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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