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Simplifying 10x + 5 + -3x = -6 + 2x + 21 Reorder the terms: 5 + 10x + -3x = -6 + 2x + 21 Combine like terms: 10x + -3x = 7x 5 + 7x = -6 + 2x + 21 Reorder the terms: 5 + 7x = -6 + 21 + 2x Combine like terms: -6 + 21 = 15 5 + 7x = 15 + 2x Solving 5 + 7x = 15 + 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. 5 + 7x + -2x = 15 + 2x + -2x Combine like terms: 7x + -2x = 5x 5 + 5x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 5x = 15 + 0 5 + 5x = 15 Add '-5' to each side of the equation. 5 + -5 + 5x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 15 + -5 5x = 15 + -5 Combine like terms: 15 + -5 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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