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Simplifying 6x + 4x + -32 = 9x + 21 Reorder the terms: -32 + 6x + 4x = 9x + 21 Combine like terms: 6x + 4x = 10x -32 + 10x = 9x + 21 Reorder the terms: -32 + 10x = 21 + 9x Solving -32 + 10x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -32 + 10x + -9x = 21 + 9x + -9x Combine like terms: 10x + -9x = 1x -32 + 1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + 1x = 21 + 0 -32 + 1x = 21 Add '32' to each side of the equation. -32 + 32 + 1x = 21 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 21 + 32 1x = 21 + 32 Combine like terms: 21 + 32 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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