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Simplifying 2x + 12 = 76 + -6x Reorder the terms: 12 + 2x = 76 + -6x Solving 12 + 2x = 76 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 2x + 6x = 76 + -6x + 6x Combine like terms: 2x + 6x = 8x 12 + 8x = 76 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 8x = 76 + 0 12 + 8x = 76 Add '-12' to each side of the equation. 12 + -12 + 8x = 76 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 76 + -12 8x = 76 + -12 Combine like terms: 76 + -12 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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