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Simplifying 0.4x + 2.1 = 0.9x + -0.4 Reorder the terms: 2.1 + 0.4x = 0.9x + -0.4 Reorder the terms: 2.1 + 0.4x = -0.4 + 0.9x Solving 2.1 + 0.4x = -0.4 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 2.1 + 0.4x + -0.9x = -0.4 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 2.1 + -0.5x = -0.4 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 2.1 + -0.5x = -0.4 + 0.0 2.1 + -0.5x = -0.4 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.5x = -0.4 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.5x = -0.4 + -2.1 -0.5x = -0.4 + -2.1 Combine like terms: -0.4 + -2.1 = -2.5 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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