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Simplifying 18 + 3x + 14 = 12 + -7x Reorder the terms: 18 + 14 + 3x = 12 + -7x Combine like terms: 18 + 14 = 32 32 + 3x = 12 + -7x Solving 32 + 3x = 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 + 3x + 7x = 12 + -7x + 7x Combine like terms: 3x + 7x = 10x 32 + 10x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + 10x = 12 + 0 32 + 10x = 12 Add '-32' to each side of the equation. 32 + -32 + 10x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 12 + -32 10x = 12 + -32 Combine like terms: 12 + -32 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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