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