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Simplifying 8(x + 3) + 7 = 6(x + 2) Reorder the terms: 8(3 + x) + 7 = 6(x + 2) (3 * 8 + x * 8) + 7 = 6(x + 2) (24 + 8x) + 7 = 6(x + 2) Reorder the terms: 24 + 7 + 8x = 6(x + 2) Combine like terms: 24 + 7 = 31 31 + 8x = 6(x + 2) Reorder the terms: 31 + 8x = 6(2 + x) 31 + 8x = (2 * 6 + x * 6) 31 + 8x = (12 + 6x) Solving 31 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x 31 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 2x = 12 + 0 31 + 2x = 12 Add '-31' to each side of the equation. 31 + -31 + 2x = 12 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 12 + -31 2x = 12 + -31 Combine like terms: 12 + -31 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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