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Simplifying 2x + 36 = 84 + -4x Reorder the terms: 36 + 2x = 84 + -4x Solving 36 + 2x = 84 + -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. 36 + 2x + 4x = 84 + -4x + 4x Combine like terms: 2x + 4x = 6x 36 + 6x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 6x = 84 + 0 36 + 6x = 84 Add '-36' to each side of the equation. 36 + -36 + 6x = 84 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 84 + -36 6x = 84 + -36 Combine like terms: 84 + -36 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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