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Simplifying 6(x + 1) + -12 = 10 + 8 Reorder the terms: 6(1 + x) + -12 = 10 + 8 (1 * 6 + x * 6) + -12 = 10 + 8 (6 + 6x) + -12 = 10 + 8 Reorder the terms: 6 + -12 + 6x = 10 + 8 Combine like terms: 6 + -12 = -6 -6 + 6x = 10 + 8 Combine like terms: 10 + 8 = 18 -6 + 6x = 18 Solving -6 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 18 + 6 6x = 18 + 6 Combine like terms: 18 + 6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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