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Simplifying 7x + 8 + 2(5 + -1x) = 6 + 2(x + 3) 7x + 8 + (5 * 2 + -1x * 2) = 6 + 2(x + 3) 7x + 8 + (10 + -2x) = 6 + 2(x + 3) Reorder the terms: 8 + 10 + 7x + -2x = 6 + 2(x + 3) Combine like terms: 8 + 10 = 18 18 + 7x + -2x = 6 + 2(x + 3) Combine like terms: 7x + -2x = 5x 18 + 5x = 6 + 2(x + 3) Reorder the terms: 18 + 5x = 6 + 2(3 + x) 18 + 5x = 6 + (3 * 2 + x * 2) 18 + 5x = 6 + (6 + 2x) Combine like terms: 6 + 6 = 12 18 + 5x = 12 + 2x Solving 18 + 5x = 12 + 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. 18 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x 18 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 3x = 12 + 0 18 + 3x = 12 Add '-18' to each side of the equation. 18 + -18 + 3x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 12 + -18 3x = 12 + -18 Combine like terms: 12 + -18 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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