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Simplifying 6x + 2(3 + x) + -26 = 100 6x + (3 * 2 + x * 2) + -26 = 100 6x + (6 + 2x) + -26 = 100 Reorder the terms: 6 + -26 + 6x + 2x = 100 Combine like terms: 6 + -26 = -20 -20 + 6x + 2x = 100 Combine like terms: 6x + 2x = 8x -20 + 8x = 100 Solving -20 + 8x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 100 + 20 8x = 100 + 20 Combine like terms: 100 + 20 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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