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Simplifying 5x + -3 + 6x + -2x = 2x + 21 Reorder the terms: -3 + 5x + 6x + -2x = 2x + 21 Combine like terms: 5x + 6x = 11x -3 + 11x + -2x = 2x + 21 Combine like terms: 11x + -2x = 9x -3 + 9x = 2x + 21 Reorder the terms: -3 + 9x = 21 + 2x Solving -3 + 9x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 9x + -2x = 21 + 2x + -2x Combine like terms: 9x + -2x = 7x -3 + 7x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 7x = 21 + 0 -3 + 7x = 21 Add '3' to each side of the equation. -3 + 3 + 7x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 21 + 3 7x = 21 + 3 Combine like terms: 21 + 3 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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