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Simplifying 6x + -21 + 5x = 18 + -3x + 17 Reorder the terms: -21 + 6x + 5x = 18 + -3x + 17 Combine like terms: 6x + 5x = 11x -21 + 11x = 18 + -3x + 17 Reorder the terms: -21 + 11x = 18 + 17 + -3x Combine like terms: 18 + 17 = 35 -21 + 11x = 35 + -3x Solving -21 + 11x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + 11x + 3x = 35 + -3x + 3x Combine like terms: 11x + 3x = 14x -21 + 14x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 14x = 35 + 0 -21 + 14x = 35 Add '21' to each side of the equation. -21 + 21 + 14x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = 35 + 21 14x = 35 + 21 Combine like terms: 35 + 21 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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