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Simplifying 3x + 22 = 4x + -6 Reorder the terms: 22 + 3x = 4x + -6 Reorder the terms: 22 + 3x = -6 + 4x Solving 22 + 3x = -6 + 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. 22 + 3x + -4x = -6 + 4x + -4x Combine like terms: 3x + -4x = -1x 22 + -1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -1x = -6 + 0 22 + -1x = -6 Add '-22' to each side of the equation. 22 + -22 + -1x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = -6 + -22 -1x = -6 + -22 Combine like terms: -6 + -22 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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