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Simplifying 7x + 2(2x + 1) = -1x + -8 Reorder the terms: 7x + 2(1 + 2x) = -1x + -8 7x + (1 * 2 + 2x * 2) = -1x + -8 7x + (2 + 4x) = -1x + -8 Reorder the terms: 2 + 7x + 4x = -1x + -8 Combine like terms: 7x + 4x = 11x 2 + 11x = -1x + -8 Reorder the terms: 2 + 11x = -8 + -1x Solving 2 + 11x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 11x + x = -8 + -1x + x Combine like terms: 11x + x = 12x 2 + 12x = -8 + -1x + x Combine like terms: -1x + x = 0 2 + 12x = -8 + 0 2 + 12x = -8 Add '-2' to each side of the equation. 2 + -2 + 12x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = -8 + -2 12x = -8 + -2 Combine like terms: -8 + -2 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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