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Simplifying 2x + 17 = 4x + -1(6x + 9) Reorder the terms: 17 + 2x = 4x + -1(6x + 9) Reorder the terms: 17 + 2x = 4x + -1(9 + 6x) 17 + 2x = 4x + (9 * -1 + 6x * -1) 17 + 2x = 4x + (-9 + -6x) Reorder the terms: 17 + 2x = -9 + 4x + -6x Combine like terms: 4x + -6x = -2x 17 + 2x = -9 + -2x Solving 17 + 2x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 2x + 2x = -9 + -2x + 2x Combine like terms: 2x + 2x = 4x 17 + 4x = -9 + -2x + 2x Combine like terms: -2x + 2x = 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 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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