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Simplifying 5x + -3.4 + 4.2 = 4x + -4.2 Reorder the terms: -3.4 + 4.2 + 5x = 4x + -4.2 Combine like terms: -3.4 + 4.2 = 0.8 0.8 + 5x = 4x + -4.2 Reorder the terms: 0.8 + 5x = -4.2 + 4x Solving 0.8 + 5x = -4.2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0.8 + 5x + -4x = -4.2 + 4x + -4x Combine like terms: 5x + -4x = 1x 0.8 + 1x = -4.2 + 4x + -4x Combine like terms: 4x + -4x = 0 0.8 + 1x = -4.2 + 0 0.8 + 1x = -4.2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1x = -4.2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1x = -4.2 + -0.8 1x = -4.2 + -0.8 Combine like terms: -4.2 + -0.8 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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