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Simplifying 8x + 12 + -2x = 18 + -4x + 14 Reorder the terms: 12 + 8x + -2x = 18 + -4x + 14 Combine like terms: 8x + -2x = 6x 12 + 6x = 18 + -4x + 14 Reorder the terms: 12 + 6x = 18 + 14 + -4x Combine like terms: 18 + 14 = 32 12 + 6x = 32 + -4x Solving 12 + 6x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 6x + 4x = 32 + -4x + 4x Combine like terms: 6x + 4x = 10x 12 + 10x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 10x = 32 + 0 12 + 10x = 32 Add '-12' to each side of the equation. 12 + -12 + 10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 32 + -12 10x = 32 + -12 Combine like terms: 32 + -12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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