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Simplifying 12 + 5x + x = 16 + -2x + 4x Combine like terms: 5x + x = 6x 12 + 6x = 16 + -2x + 4x Combine like terms: -2x + 4x = 2x 12 + 6x = 16 + 2x Solving 12 + 6x = 16 + 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 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 16 + 0 12 + 4x = 16 Add '-12' to each side of the equation. 12 + -12 + 4x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 16 + -12 4x = 16 + -12 Combine like terms: 16 + -12 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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