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Simplifying 4.2x + 34.9 = 14.5 + -6.0x Reorder the terms: 34.9 + 4.2x = 14.5 + -6.0x Solving 34.9 + 4.2x = 14.5 + -6.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.0x' to each side of the equation. 34.9 + 4.2x + 6.0x = 14.5 + -6.0x + 6.0x Combine like terms: 4.2x + 6.0x = 10.2x 34.9 + 10.2x = 14.5 + -6.0x + 6.0x Combine like terms: -6.0x + 6.0x = 0.0 34.9 + 10.2x = 14.5 + 0.0 34.9 + 10.2x = 14.5 Add '-34.9' to each side of the equation. 34.9 + -34.9 + 10.2x = 14.5 + -34.9 Combine like terms: 34.9 + -34.9 = 0.0 0.0 + 10.2x = 14.5 + -34.9 10.2x = 14.5 + -34.9 Combine like terms: 14.5 + -34.9 = -20.4 10.2x = -20.4 Divide each side by '10.2'. x = -2 Simplifying x = -2
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