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Simplifying 3x + 17 + -5x = 12 + -1(6x + 3) Reorder the terms: 17 + 3x + -5x = 12 + -1(6x + 3) Combine like terms: 3x + -5x = -2x 17 + -2x = 12 + -1(6x + 3) Reorder the terms: 17 + -2x = 12 + -1(3 + 6x) 17 + -2x = 12 + (3 * -1 + 6x * -1) 17 + -2x = 12 + (-3 + -6x) Combine like terms: 12 + -3 = 9 17 + -2x = 9 + -6x Solving 17 + -2x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + -2x + 6x = 9 + -6x + 6x Combine like terms: -2x + 6x = 4x 17 + 4x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 4x = 9 + 0 17 + 4x = 9 Add '-17' to each side of the equation. 17 + -17 + 4x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 9 + -17 4x = 9 + -17 Combine like terms: 9 + -17 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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