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Simplifying 7(x + -6) = 5x + -26 Reorder the terms: 7(-6 + x) = 5x + -26 (-6 * 7 + x * 7) = 5x + -26 (-42 + 7x) = 5x + -26 Reorder the terms: -42 + 7x = -26 + 5x Solving -42 + 7x = -26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 7x + -5x = -26 + 5x + -5x Combine like terms: 7x + -5x = 2x -42 + 2x = -26 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 2x = -26 + 0 -42 + 2x = -26 Add '42' to each side of the equation. -42 + 42 + 2x = -26 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -26 + 42 2x = -26 + 42 Combine like terms: -26 + 42 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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