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Simplifying 19x + -12 + 3x = 4x + 14 + 10 Reorder the terms: -12 + 19x + 3x = 4x + 14 + 10 Combine like terms: 19x + 3x = 22x -12 + 22x = 4x + 14 + 10 Reorder the terms: -12 + 22x = 14 + 10 + 4x Combine like terms: 14 + 10 = 24 -12 + 22x = 24 + 4x Solving -12 + 22x = 24 + 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. -12 + 22x + -4x = 24 + 4x + -4x Combine like terms: 22x + -4x = 18x -12 + 18x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 18x = 24 + 0 -12 + 18x = 24 Add '12' to each side of the equation. -12 + 12 + 18x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 24 + 12 18x = 24 + 12 Combine like terms: 24 + 12 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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