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Simplifying 7x + -17 = 4x + 18 Reorder the terms: -17 + 7x = 4x + 18 Reorder the terms: -17 + 7x = 18 + 4x Solving -17 + 7x = 18 + 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 + 7x + -4x = 18 + 4x + -4x Combine like terms: 7x + -4x = 3x -17 + 3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 3x = 18 + 0 -17 + 3x = 18 Add '17' to each side of the equation. -17 + 17 + 3x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 18 + 17 3x = 18 + 17 Combine like terms: 18 + 17 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667
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