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Simplifying 3x + -13 + -5x + 2 = 21 + -2x + -2 + -5x Reorder the terms: -13 + 2 + 3x + -5x = 21 + -2x + -2 + -5x Combine like terms: -13 + 2 = -11 -11 + 3x + -5x = 21 + -2x + -2 + -5x Combine like terms: 3x + -5x = -2x -11 + -2x = 21 + -2x + -2 + -5x Reorder the terms: -11 + -2x = 21 + -2 + -2x + -5x Combine like terms: 21 + -2 = 19 -11 + -2x = 19 + -2x + -5x Combine like terms: -2x + -5x = -7x -11 + -2x = 19 + -7x Solving -11 + -2x = 19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -11 + -2x + 7x = 19 + -7x + 7x Combine like terms: -2x + 7x = 5x -11 + 5x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -11 + 5x = 19 + 0 -11 + 5x = 19 Add '11' to each side of the equation. -11 + 11 + 5x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 19 + 11 5x = 19 + 11 Combine like terms: 19 + 11 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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