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Simplifying 4x + 17 = 9x + -18 Reorder the terms: 17 + 4x = 9x + -18 Reorder the terms: 17 + 4x = -18 + 9x Solving 17 + 4x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 4x + -9x = -18 + 9x + -9x Combine like terms: 4x + -9x = -5x 17 + -5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -5x = -18 + 0 17 + -5x = -18 Add '-17' to each side of the equation. 17 + -17 + -5x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -18 + -17 -5x = -18 + -17 Combine like terms: -18 + -17 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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