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Simplifying 7x + -1(4x + 8) = 5x + -26 Reorder the terms: 7x + -1(8 + 4x) = 5x + -26 7x + (8 * -1 + 4x * -1) = 5x + -26 7x + (-8 + -4x) = 5x + -26 Reorder the terms: -8 + 7x + -4x = 5x + -26 Combine like terms: 7x + -4x = 3x -8 + 3x = 5x + -26 Reorder the terms: -8 + 3x = -26 + 5x Solving -8 + 3x = -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. -8 + 3x + -5x = -26 + 5x + -5x Combine like terms: 3x + -5x = -2x -8 + -2x = -26 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -2x = -26 + 0 -8 + -2x = -26 Add '8' to each side of the equation. -8 + 8 + -2x = -26 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -26 + 8 -2x = -26 + 8 Combine like terms: -26 + 8 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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