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Simplifying 12x + 4 + 9 = 10x + 17 Reorder the terms: 4 + 9 + 12x = 10x + 17 Combine like terms: 4 + 9 = 13 13 + 12x = 10x + 17 Reorder the terms: 13 + 12x = 17 + 10x Solving 13 + 12x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 12x + -10x = 17 + 10x + -10x Combine like terms: 12x + -10x = 2x 13 + 2x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + 2x = 17 + 0 13 + 2x = 17 Add '-13' to each side of the equation. 13 + -13 + 2x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 17 + -13 2x = 17 + -13 Combine like terms: 17 + -13 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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