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Simplifying -26 = -2(1 + -3x) + 2(8 + 2x) -26 = (1 * -2 + -3x * -2) + 2(8 + 2x) -26 = (-2 + 6x) + 2(8 + 2x) -26 = -2 + 6x + (8 * 2 + 2x * 2) -26 = -2 + 6x + (16 + 4x) Reorder the terms: -26 = -2 + 16 + 6x + 4x Combine like terms: -2 + 16 = 14 -26 = 14 + 6x + 4x Combine like terms: 6x + 4x = 10x -26 = 14 + 10x Solving -26 = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -26 + -10x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -26 + -10x = 14 + 0 -26 + -10x = 14 Add '26' to each side of the equation. -26 + 26 + -10x = 14 + 26 Combine like terms: -26 + 26 = 0 0 + -10x = 14 + 26 -10x = 14 + 26 Combine like terms: 14 + 26 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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