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Simplifying 3x + 17 + -5x = 12 + -1x + (6x + 3) Reorder the terms: 17 + 3x + -5x = 12 + -1x + (6x + 3) Combine like terms: 3x + -5x = -2x 17 + -2x = 12 + -1x + (6x + 3) Reorder the terms: 17 + -2x = 12 + -1x + (3 + 6x) Remove parenthesis around (3 + 6x) 17 + -2x = 12 + -1x + 3 + 6x Reorder the terms: 17 + -2x = 12 + 3 + -1x + 6x Combine like terms: 12 + 3 = 15 17 + -2x = 15 + -1x + 6x Combine like terms: -1x + 6x = 5x 17 + -2x = 15 + 5x Solving 17 + -2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -2x + -5x = 15 + 5x + -5x Combine like terms: -2x + -5x = -7x 17 + -7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -7x = 15 + 0 17 + -7x = 15 Add '-17' to each side of the equation. 17 + -17 + -7x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 15 + -17 -7x = 15 + -17 Combine like terms: 15 + -17 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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