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Simplifying 3x + -9x + 17 = 4x + 27 Reorder the terms: 17 + 3x + -9x = 4x + 27 Combine like terms: 3x + -9x = -6x 17 + -6x = 4x + 27 Reorder the terms: 17 + -6x = 27 + 4x Solving 17 + -6x = 27 + 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 + -6x + -4x = 27 + 4x + -4x Combine like terms: -6x + -4x = -10x 17 + -10x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -10x = 27 + 0 17 + -10x = 27 Add '-17' to each side of the equation. 17 + -17 + -10x = 27 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 27 + -17 -10x = 27 + -17 Combine like terms: 27 + -17 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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