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Simplifying 0.6x + 2.1 = 5.2x + -7.9 + -1.9x Reorder the terms: 2.1 + 0.6x = 5.2x + -7.9 + -1.9x Reorder the terms: 2.1 + 0.6x = -7.9 + 5.2x + -1.9x Combine like terms: 5.2x + -1.9x = 3.3x 2.1 + 0.6x = -7.9 + 3.3x Solving 2.1 + 0.6x = -7.9 + 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. 2.1 + 0.6x + -3.3x = -7.9 + 3.3x + -3.3x Combine like terms: 0.6x + -3.3x = -2.7x 2.1 + -2.7x = -7.9 + 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 2.1 + -2.7x = -7.9 + 0.0 2.1 + -2.7x = -7.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -2.7x = -7.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -2.7x = -7.9 + -2.1 -2.7x = -7.9 + -2.1 Combine like terms: -7.9 + -2.1 = -10 -2.7x = -10 Divide each side by '-2.7'. x = 3.703703704 Simplifying x = 3.703703704
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