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Simplifying 5x + -1(6x + 2) = 3x + -26 Reorder the terms: 5x + -1(2 + 6x) = 3x + -26 5x + (2 * -1 + 6x * -1) = 3x + -26 5x + (-2 + -6x) = 3x + -26 Reorder the terms: -2 + 5x + -6x = 3x + -26 Combine like terms: 5x + -6x = -1x -2 + -1x = 3x + -26 Reorder the terms: -2 + -1x = -26 + 3x Solving -2 + -1x = -26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -1x + -3x = -26 + 3x + -3x Combine like terms: -1x + -3x = -4x -2 + -4x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -4x = -26 + 0 -2 + -4x = -26 Add '2' to each side of the equation. -2 + 2 + -4x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -26 + 2 -4x = -26 + 2 Combine like terms: -26 + 2 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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