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Simplifying 2(x + 5) + -7x = 6 + 6x Reorder the terms: 2(5 + x) + -7x = 6 + 6x (5 * 2 + x * 2) + -7x = 6 + 6x (10 + 2x) + -7x = 6 + 6x Combine like terms: 2x + -7x = -5x 10 + -5x = 6 + 6x Solving 10 + -5x = 6 + 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. 10 + -5x + -6x = 6 + 6x + -6x Combine like terms: -5x + -6x = -11x 10 + -11x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -11x = 6 + 0 10 + -11x = 6 Add '-10' to each side of the equation. 10 + -10 + -11x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 6 + -10 -11x = 6 + -10 Combine like terms: 6 + -10 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636
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