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Simplifying 4x + -2 + 6x + 5 = 8x + 21 Reorder the terms: -2 + 5 + 4x + 6x = 8x + 21 Combine like terms: -2 + 5 = 3 3 + 4x + 6x = 8x + 21 Combine like terms: 4x + 6x = 10x 3 + 10x = 8x + 21 Reorder the terms: 3 + 10x = 21 + 8x Solving 3 + 10x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 10x + -8x = 21 + 8x + -8x Combine like terms: 10x + -8x = 2x 3 + 2x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 2x = 21 + 0 3 + 2x = 21 Add '-3' to each side of the equation. 3 + -3 + 2x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 21 + -3 2x = 21 + -3 Combine like terms: 21 + -3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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