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Simplifying 9x + -4x + 32 = 6x + -21 Reorder the terms: 32 + 9x + -4x = 6x + -21 Combine like terms: 9x + -4x = 5x 32 + 5x = 6x + -21 Reorder the terms: 32 + 5x = -21 + 6x Solving 32 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x 32 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 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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