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Simplifying 8x + 22 = 2x + 100 Reorder the terms: 22 + 8x = 2x + 100 Reorder the terms: 22 + 8x = 100 + 2x Solving 22 + 8x = 100 + 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. 22 + 8x + -2x = 100 + 2x + -2x Combine like terms: 8x + -2x = 6x 22 + 6x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 6x = 100 + 0 22 + 6x = 100 Add '-22' to each side of the equation. 22 + -22 + 6x = 100 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 100 + -22 6x = 100 + -22 Combine like terms: 100 + -22 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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