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Simplifying 6x + -1(7x + 2) = 7x + -26 Reorder the terms: 6x + -1(2 + 7x) = 7x + -26 6x + (2 * -1 + 7x * -1) = 7x + -26 6x + (-2 + -7x) = 7x + -26 Reorder the terms: -2 + 6x + -7x = 7x + -26 Combine like terms: 6x + -7x = -1x -2 + -1x = 7x + -26 Reorder the terms: -2 + -1x = -26 + 7x Solving -2 + -1x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -1x + -7x = -26 + 7x + -7x Combine like terms: -1x + -7x = -8x -2 + -8x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -8x = -26 + 0 -2 + -8x = -26 Add '2' to each side of the equation. -2 + 2 + -8x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -26 + 2 -8x = -26 + 2 Combine like terms: -26 + 2 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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