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Simplifying 3x + 30 = 4x + 22 Reorder the terms: 30 + 3x = 4x + 22 Reorder the terms: 30 + 3x = 22 + 4x Solving 30 + 3x = 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. 30 + 3x + -4x = 22 + 4x + -4x Combine like terms: 3x + -4x = -1x 30 + -1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -1x = 22 + 0 30 + -1x = 22 Add '-30' to each side of the equation. 30 + -30 + -1x = 22 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 22 + -30 -1x = 22 + -30 Combine like terms: 22 + -30 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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