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Simplifying 2(x + 1) = -5(2x + -6) Reorder the terms: 2(1 + x) = -5(2x + -6) (1 * 2 + x * 2) = -5(2x + -6) (2 + 2x) = -5(2x + -6) Reorder the terms: 2 + 2x = -5(-6 + 2x) 2 + 2x = (-6 * -5 + 2x * -5) 2 + 2x = (30 + -10x) Solving 2 + 2x = 30 + -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. 2 + 2x + 10x = 30 + -10x + 10x Combine like terms: 2x + 10x = 12x 2 + 12x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 12x = 30 + 0 2 + 12x = 30 Add '-2' to each side of the equation. 2 + -2 + 12x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 30 + -2 12x = 30 + -2 Combine like terms: 30 + -2 = 28 12x = 28 Divide each side by '12'. x = 2.333333333 Simplifying x = 2.333333333
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