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Simplifying 8(x + 2) + -6(x + 1) = 12 Reorder the terms: 8(2 + x) + -6(x + 1) = 12 (2 * 8 + x * 8) + -6(x + 1) = 12 (16 + 8x) + -6(x + 1) = 12 Reorder the terms: 16 + 8x + -6(1 + x) = 12 16 + 8x + (1 * -6 + x * -6) = 12 16 + 8x + (-6 + -6x) = 12 Reorder the terms: 16 + -6 + 8x + -6x = 12 Combine like terms: 16 + -6 = 10 10 + 8x + -6x = 12 Combine like terms: 8x + -6x = 2x 10 + 2x = 12 Solving 10 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 12 + -10 2x = 12 + -10 Combine like terms: 12 + -10 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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