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Simplifying 6x + -8 + 2(2x + 5) = -2(x + 2) Reorder the terms: 6x + -8 + 2(5 + 2x) = -2(x + 2) 6x + -8 + (5 * 2 + 2x * 2) = -2(x + 2) 6x + -8 + (10 + 4x) = -2(x + 2) Reorder the terms: -8 + 10 + 6x + 4x = -2(x + 2) Combine like terms: -8 + 10 = 2 2 + 6x + 4x = -2(x + 2) Combine like terms: 6x + 4x = 10x 2 + 10x = -2(x + 2) Reorder the terms: 2 + 10x = -2(2 + x) 2 + 10x = (2 * -2 + x * -2) 2 + 10x = (-4 + -2x) Solving 2 + 10x = -4 + -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 + 10x + 2x = -4 + -2x + 2x Combine like terms: 10x + 2x = 12x 2 + 12x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 12x = -4 + 0 2 + 12x = -4 Add '-2' to each side of the equation. 2 + -2 + 12x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = -4 + -2 12x = -4 + -2 Combine like terms: -4 + -2 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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