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Simplifying 5x + 10 = 4x + 22 Reorder the terms: 10 + 5x = 4x + 22 Reorder the terms: 10 + 5x = 22 + 4x Solving 10 + 5x = 22 + 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. 10 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = 22 + 0 10 + 1x = 22 Add '-10' to each side of the equation. 10 + -10 + 1x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 22 + -10 1x = 22 + -10 Combine like terms: 22 + -10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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