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Simplifying 3x + 17 + -5x = 12(6x + 3) Reorder the terms: 17 + 3x + -5x = 12(6x + 3) Combine like terms: 3x + -5x = -2x 17 + -2x = 12(6x + 3) Reorder the terms: 17 + -2x = 12(3 + 6x) 17 + -2x = (3 * 12 + 6x * 12) 17 + -2x = (36 + 72x) Solving 17 + -2x = 36 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 17 + -2x + -72x = 36 + 72x + -72x Combine like terms: -2x + -72x = -74x 17 + -74x = 36 + 72x + -72x Combine like terms: 72x + -72x = 0 17 + -74x = 36 + 0 17 + -74x = 36 Add '-17' to each side of the equation. 17 + -17 + -74x = 36 + -17 Combine like terms: 17 + -17 = 0 0 + -74x = 36 + -17 -74x = 36 + -17 Combine like terms: 36 + -17 = 19 -74x = 19 Divide each side by '-74'. x = -0.2567567568 Simplifying x = -0.2567567568
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