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Simplifying 8x + -6x + 36 = 7x + -2x Reorder the terms: 36 + 8x + -6x = 7x + -2x Combine like terms: 8x + -6x = 2x 36 + 2x = 7x + -2x Combine like terms: 7x + -2x = 5x 36 + 2x = 5x Solving 36 + 2x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 2x + -5x = 5x + -5x Combine like terms: 2x + -5x = -3x 36 + -3x = 5x + -5x Combine like terms: 5x + -5x = 0 36 + -3x = 0 Add '-36' to each side of the equation. 36 + -36 + -3x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 0 + -36 -3x = 0 + -36 Combine like terms: 0 + -36 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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