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Simplifying 4.6x + -5.1 + 7x = 7.6x + -24.3 Reorder the terms: -5.1 + 4.6x + 7x = 7.6x + -24.3 Combine like terms: 4.6x + 7x = 11.6x -5.1 + 11.6x = 7.6x + -24.3 Reorder the terms: -5.1 + 11.6x = -24.3 + 7.6x Solving -5.1 + 11.6x = -24.3 + 7.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.6x' to each side of the equation. -5.1 + 11.6x + -7.6x = -24.3 + 7.6x + -7.6x Combine like terms: 11.6x + -7.6x = 4x -5.1 + 4x = -24.3 + 7.6x + -7.6x Combine like terms: 7.6x + -7.6x = 0.0 -5.1 + 4x = -24.3 + 0.0 -5.1 + 4x = -24.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 4x = -24.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 4x = -24.3 + 5.1 4x = -24.3 + 5.1 Combine like terms: -24.3 + 5.1 = -19.2 4x = -19.2 Divide each side by '4'. x = -4.8 Simplifying x = -4.8
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