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Simplifying 6x + 36 = 5x + 2x + 2 Reorder the terms: 36 + 6x = 5x + 2x + 2 Reorder the terms: 36 + 6x = 2 + 5x + 2x Combine like terms: 5x + 2x = 7x 36 + 6x = 2 + 7x Solving 36 + 6x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 6x + -7x = 2 + 7x + -7x Combine like terms: 6x + -7x = -1x 36 + -1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -1x = 2 + 0 36 + -1x = 2 Add '-36' to each side of the equation. 36 + -36 + -1x = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 2 + -36 -1x = 2 + -36 Combine like terms: 2 + -36 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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