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Simplifying 4.6x + 4.3 = 4.2x + 2.3 Reorder the terms: 4.3 + 4.6x = 4.2x + 2.3 Reorder the terms: 4.3 + 4.6x = 2.3 + 4.2x Solving 4.3 + 4.6x = 2.3 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. 4.3 + 4.6x + -4.2x = 2.3 + 4.2x + -4.2x Combine like terms: 4.6x + -4.2x = 0.4x 4.3 + 0.4x = 2.3 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 4.3 + 0.4x = 2.3 + 0.0 4.3 + 0.4x = 2.3 Add '-4.3' to each side of the equation. 4.3 + -4.3 + 0.4x = 2.3 + -4.3 Combine like terms: 4.3 + -4.3 = 0.0 0.0 + 0.4x = 2.3 + -4.3 0.4x = 2.3 + -4.3 Combine like terms: 2.3 + -4.3 = -2 0.4x = -2 Divide each side by '0.4'. x = -5 Simplifying x = -5
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