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Simplifying 3x + 17 + -5x = 12 + -1(6 + 3x) Reorder the terms: 17 + 3x + -5x = 12 + -1(6 + 3x) Combine like terms: 3x + -5x = -2x 17 + -2x = 12 + -1(6 + 3x) 17 + -2x = 12 + (6 * -1 + 3x * -1) 17 + -2x = 12 + (-6 + -3x) Combine like terms: 12 + -6 = 6 17 + -2x = 6 + -3x Solving 17 + -2x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + -2x + 3x = 6 + -3x + 3x Combine like terms: -2x + 3x = 1x 17 + 1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 1x = 6 + 0 17 + 1x = 6 Add '-17' to each side of the equation. 17 + -17 + 1x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 6 + -17 1x = 6 + -17 Combine like terms: 6 + -17 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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