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Simplifying 0.4x + 1.57 = 0.5x + -0.4325 Reorder the terms: 1.57 + 0.4x = 0.5x + -0.4325 Reorder the terms: 1.57 + 0.4x = -0.4325 + 0.5x Solving 1.57 + 0.4x = -0.4325 + 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. 1.57 + 0.4x + -0.5x = -0.4325 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 1.57 + -0.1x = -0.4325 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.57 + -0.1x = -0.4325 + 0.0 1.57 + -0.1x = -0.4325 Add '-1.57' to each side of the equation. 1.57 + -1.57 + -0.1x = -0.4325 + -1.57 Combine like terms: 1.57 + -1.57 = 0.00 0.00 + -0.1x = -0.4325 + -1.57 -0.1x = -0.4325 + -1.57 Combine like terms: -0.4325 + -1.57 = -2.0025 -0.1x = -2.0025 Divide each side by '-0.1'. x = 20.025 Simplifying x = 20.025
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