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Simplifying 0.4x + 2.1 = 0.8x + -1.1 Reorder the terms: 2.1 + 0.4x = 0.8x + -1.1 Reorder the terms: 2.1 + 0.4x = -1.1 + 0.8x Solving 2.1 + 0.4x = -1.1 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 2.1 + 0.4x + -0.8x = -1.1 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 2.1 + -0.4x = -1.1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2.1 + -0.4x = -1.1 + 0.0 2.1 + -0.4x = -1.1 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.4x = -1.1 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.4x = -1.1 + -2.1 -0.4x = -1.1 + -2.1 Combine like terms: -1.1 + -2.1 = -3.2 -0.4x = -3.2 Divide each side by '-0.4'. x = 8 Simplifying x = 8
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