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Simplifying 8x + -26 = 5(x + -2) + x Reorder the terms: -26 + 8x = 5(x + -2) + x Reorder the terms: -26 + 8x = 5(-2 + x) + x -26 + 8x = (-2 * 5 + x * 5) + x -26 + 8x = (-10 + 5x) + x Combine like terms: 5x + x = 6x -26 + 8x = -10 + 6x Solving -26 + 8x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -26 + 8x + -6x = -10 + 6x + -6x Combine like terms: 8x + -6x = 2x -26 + 2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + 2x = -10 + 0 -26 + 2x = -10 Add '26' to each side of the equation. -26 + 26 + 2x = -10 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -10 + 26 2x = -10 + 26 Combine like terms: -10 + 26 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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