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Simplifying 0.4x + 4.2 = 0.3x + 2.6 Reorder the terms: 4.2 + 0.4x = 0.3x + 2.6 Reorder the terms: 4.2 + 0.4x = 2.6 + 0.3x Solving 4.2 + 0.4x = 2.6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4.2 + 0.4x + -0.3x = 2.6 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 4.2 + 0.1x = 2.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4.2 + 0.1x = 2.6 + 0.0 4.2 + 0.1x = 2.6 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.1x = 2.6 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.1x = 2.6 + -4.2 0.1x = 2.6 + -4.2 Combine like terms: 2.6 + -4.2 = -1.6 0.1x = -1.6 Divide each side by '0.1'. x = -16 Simplifying x = -16
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