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Simplifying 4x + 9x + -17 = 51 + -4x Reorder the terms: -17 + 4x + 9x = 51 + -4x Combine like terms: 4x + 9x = 13x -17 + 13x = 51 + -4x Solving -17 + 13x = 51 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -17 + 13x + 4x = 51 + -4x + 4x Combine like terms: 13x + 4x = 17x -17 + 17x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 17x = 51 + 0 -17 + 17x = 51 Add '17' to each side of the equation. -17 + 17 + 17x = 51 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 51 + 17 17x = 51 + 17 Combine like terms: 51 + 17 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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