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Simplifying 6x + -8 + 2(3x + 5) = -2(x + 5) Reorder the terms: 6x + -8 + 2(5 + 3x) = -2(x + 5) 6x + -8 + (5 * 2 + 3x * 2) = -2(x + 5) 6x + -8 + (10 + 6x) = -2(x + 5) Reorder the terms: -8 + 10 + 6x + 6x = -2(x + 5) Combine like terms: -8 + 10 = 2 2 + 6x + 6x = -2(x + 5) Combine like terms: 6x + 6x = 12x 2 + 12x = -2(x + 5) Reorder the terms: 2 + 12x = -2(5 + x) 2 + 12x = (5 * -2 + x * -2) 2 + 12x = (-10 + -2x) Solving 2 + 12x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 12x + 2x = -10 + -2x + 2x Combine like terms: 12x + 2x = 14x 2 + 14x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 14x = -10 + 0 2 + 14x = -10 Add '-2' to each side of the equation. 2 + -2 + 14x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = -10 + -2 14x = -10 + -2 Combine like terms: -10 + -2 = -12 14x = -12 Divide each side by '14'. x = -0.8571428571 Simplifying x = -0.8571428571
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