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Simplifying 2x + -9 + 3x + 12 = 2x + 78 Reorder the terms: -9 + 12 + 2x + 3x = 2x + 78 Combine like terms: -9 + 12 = 3 3 + 2x + 3x = 2x + 78 Combine like terms: 2x + 3x = 5x 3 + 5x = 2x + 78 Reorder the terms: 3 + 5x = 78 + 2x Solving 3 + 5x = 78 + 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. 3 + 5x + -2x = 78 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 78 + 0 3 + 3x = 78 Add '-3' to each side of the equation. 3 + -3 + 3x = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 78 + -3 3x = 78 + -3 Combine like terms: 78 + -3 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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