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Simplifying 1.4x + 2.1 = 0.5x + 5.7 Reorder the terms: 2.1 + 1.4x = 0.5x + 5.7 Reorder the terms: 2.1 + 1.4x = 5.7 + 0.5x Solving 2.1 + 1.4x = 5.7 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2.1 + 1.4x + -0.5x = 5.7 + 0.5x + -0.5x Combine like terms: 1.4x + -0.5x = 0.9x 2.1 + 0.9x = 5.7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.1 + 0.9x = 5.7 + 0.0 2.1 + 0.9x = 5.7 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.9x = 5.7 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.9x = 5.7 + -2.1 0.9x = 5.7 + -2.1 Combine like terms: 5.7 + -2.1 = 3.6 0.9x = 3.6 Divide each side by '0.9'. x = 4 Simplifying x = 4
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