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Simplifying 5x + 10 + 12 = 4x + 14 + -5 Reorder the terms: 10 + 12 + 5x = 4x + 14 + -5 Combine like terms: 10 + 12 = 22 22 + 5x = 4x + 14 + -5 Reorder the terms: 22 + 5x = 14 + -5 + 4x Combine like terms: 14 + -5 = 9 22 + 5x = 9 + 4x Solving 22 + 5x = 9 + 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 + 5x + -4x = 9 + 4x + -4x Combine like terms: 5x + -4x = 1x 22 + 1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 1x = 9 + 0 22 + 1x = 9 Add '-22' to each side of the equation. 22 + -22 + 1x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 9 + -22 1x = 9 + -22 Combine like terms: 9 + -22 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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