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Simplifying 2(x + 1) = 7 + -5(2x + 1) Reorder the terms: 2(1 + x) = 7 + -5(2x + 1) (1 * 2 + x * 2) = 7 + -5(2x + 1) (2 + 2x) = 7 + -5(2x + 1) Reorder the terms: 2 + 2x = 7 + -5(1 + 2x) 2 + 2x = 7 + (1 * -5 + 2x * -5) 2 + 2x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 2 + 2x = 2 + -10x Add '-2' to each side of the equation. 2 + -2 + 2x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 0 + 2x = 2 + -2 + -10x 2x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 2x = 0 + -10x 2x = -10x Solving 2x = -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. 2x + 10x = -10x + 10x Combine like terms: 2x + 10x = 12x 12x = -10x + 10x Combine like terms: -10x + 10x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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