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Simplifying 6.1x + -4.8 = 2.4x + 10 Reorder the terms: -4.8 + 6.1x = 2.4x + 10 Reorder the terms: -4.8 + 6.1x = 10 + 2.4x Solving -4.8 + 6.1x = 10 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -4.8 + 6.1x + -2.4x = 10 + 2.4x + -2.4x Combine like terms: 6.1x + -2.4x = 3.7x -4.8 + 3.7x = 10 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -4.8 + 3.7x = 10 + 0.0 -4.8 + 3.7x = 10 Add '4.8' to each side of the equation. -4.8 + 4.8 + 3.7x = 10 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 3.7x = 10 + 4.8 3.7x = 10 + 4.8 Combine like terms: 10 + 4.8 = 14.8 3.7x = 14.8 Divide each side by '3.7'. x = 4 Simplifying x = 4
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