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Simplifying 21x + 45.2 = 3.2 + -8.4x Reorder the terms: 45.2 + 21x = 3.2 + -8.4x Solving 45.2 + 21x = 3.2 + -8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.4x' to each side of the equation. 45.2 + 21x + 8.4x = 3.2 + -8.4x + 8.4x Combine like terms: 21x + 8.4x = 29.4x 45.2 + 29.4x = 3.2 + -8.4x + 8.4x Combine like terms: -8.4x + 8.4x = 0.0 45.2 + 29.4x = 3.2 + 0.0 45.2 + 29.4x = 3.2 Add '-45.2' to each side of the equation. 45.2 + -45.2 + 29.4x = 3.2 + -45.2 Combine like terms: 45.2 + -45.2 = 0.0 0.0 + 29.4x = 3.2 + -45.2 29.4x = 3.2 + -45.2 Combine like terms: 3.2 + -45.2 = -42 29.4x = -42 Divide each side by '29.4'. x = -1.428571429 Simplifying x = -1.428571429
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