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Simplifying 8 + 2(3x + 5) = 2x + 5 + x + -11 Reorder the terms: 8 + 2(5 + 3x) = 2x + 5 + x + -11 8 + (5 * 2 + 3x * 2) = 2x + 5 + x + -11 8 + (10 + 6x) = 2x + 5 + x + -11 Combine like terms: 8 + 10 = 18 18 + 6x = 2x + 5 + x + -11 Reorder the terms: 18 + 6x = 5 + -11 + 2x + x Combine like terms: 5 + -11 = -6 18 + 6x = -6 + 2x + x Combine like terms: 2x + x = 3x 18 + 6x = -6 + 3x Solving 18 + 6x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 6x + -3x = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x 18 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 3x = -6 + 0 18 + 3x = -6 Add '-18' to each side of the equation. 18 + -18 + 3x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -6 + -18 3x = -6 + -18 Combine like terms: -6 + -18 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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