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Simplifying 2 + -5(x + -6) = x + 12 + -8x Reorder the terms: 2 + -5(-6 + x) = x + 12 + -8x 2 + (-6 * -5 + x * -5) = x + 12 + -8x 2 + (30 + -5x) = x + 12 + -8x Combine like terms: 2 + 30 = 32 32 + -5x = x + 12 + -8x Reorder the terms: 32 + -5x = 12 + x + -8x Combine like terms: x + -8x = -7x 32 + -5x = 12 + -7x Solving 32 + -5x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + -5x + 7x = 12 + -7x + 7x Combine like terms: -5x + 7x = 2x 32 + 2x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + 2x = 12 + 0 32 + 2x = 12 Add '-32' to each side of the equation. 32 + -32 + 2x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 12 + -32 2x = 12 + -32 Combine like terms: 12 + -32 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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