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Simplifying 12x + 25 + -35 = 14x + 22x + -22 Reorder the terms: 25 + -35 + 12x = 14x + 22x + -22 Combine like terms: 25 + -35 = -10 -10 + 12x = 14x + 22x + -22 Reorder the terms: -10 + 12x = -22 + 14x + 22x Combine like terms: 14x + 22x = 36x -10 + 12x = -22 + 36x Solving -10 + 12x = -22 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -10 + 12x + -36x = -22 + 36x + -36x Combine like terms: 12x + -36x = -24x -10 + -24x = -22 + 36x + -36x Combine like terms: 36x + -36x = 0 -10 + -24x = -22 + 0 -10 + -24x = -22 Add '10' to each side of the equation. -10 + 10 + -24x = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -24x = -22 + 10 -24x = -22 + 10 Combine like terms: -22 + 10 = -12 -24x = -12 Divide each side by '-24'. x = 0.5 Simplifying x = 0.5
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