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Simplifying 6 + 5x + -7 = 4x + 18 + -21x Reorder the terms: 6 + -7 + 5x = 4x + 18 + -21x Combine like terms: 6 + -7 = -1 -1 + 5x = 4x + 18 + -21x Reorder the terms: -1 + 5x = 18 + 4x + -21x Combine like terms: 4x + -21x = -17x -1 + 5x = 18 + -17x Solving -1 + 5x = 18 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -1 + 5x + 17x = 18 + -17x + 17x Combine like terms: 5x + 17x = 22x -1 + 22x = 18 + -17x + 17x Combine like terms: -17x + 17x = 0 -1 + 22x = 18 + 0 -1 + 22x = 18 Add '1' to each side of the equation. -1 + 1 + 22x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + 22x = 18 + 1 22x = 18 + 1 Combine like terms: 18 + 1 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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