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Simplifying 12 + 2x + 10 = 3x + 18 + -5x Reorder the terms: 12 + 10 + 2x = 3x + 18 + -5x Combine like terms: 12 + 10 = 22 22 + 2x = 3x + 18 + -5x Reorder the terms: 22 + 2x = 18 + 3x + -5x Combine like terms: 3x + -5x = -2x 22 + 2x = 18 + -2x Solving 22 + 2x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 22 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x 22 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 4x = 18 + 0 22 + 4x = 18 Add '-22' to each side of the equation. 22 + -22 + 4x = 18 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 18 + -22 4x = 18 + -22 Combine like terms: 18 + -22 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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