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Simplifying 7x + 10 = 4x + 22 Reorder the terms: 10 + 7x = 4x + 22 Reorder the terms: 10 + 7x = 22 + 4x Solving 10 + 7x = 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 + 7x + -4x = 22 + 4x + -4x Combine like terms: 7x + -4x = 3x 10 + 3x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 3x = 22 + 0 10 + 3x = 22 Add '-10' to each side of the equation. 10 + -10 + 3x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 22 + -10 3x = 22 + -10 Combine like terms: 22 + -10 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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