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Simplifying 0.75x + 3.24x + 32.58 = 0.89x + -0.55x Reorder the terms: 32.58 + 0.75x + 3.24x = 0.89x + -0.55x Combine like terms: 0.75x + 3.24x = 3.99x 32.58 + 3.99x = 0.89x + -0.55x Combine like terms: 0.89x + -0.55x = 0.34x 32.58 + 3.99x = 0.34x Solving 32.58 + 3.99x = 0.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.34x' to each side of the equation. 32.58 + 3.99x + -0.34x = 0.34x + -0.34x Combine like terms: 3.99x + -0.34x = 3.65x 32.58 + 3.65x = 0.34x + -0.34x Combine like terms: 0.34x + -0.34x = 0.00 32.58 + 3.65x = 0.00 Add '-32.58' to each side of the equation. 32.58 + -32.58 + 3.65x = 0.00 + -32.58 Combine like terms: 32.58 + -32.58 = 0.00 0.00 + 3.65x = 0.00 + -32.58 3.65x = 0.00 + -32.58 Combine like terms: 0.00 + -32.58 = -32.58 3.65x = -32.58 Divide each side by '3.65'. x = -8.926027397 Simplifying x = -8.926027397
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