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Simplifying 0.46 + -0.1x = 0.3x + -0.1 Reorder the terms: 0.46 + -0.1x = -0.1 + 0.3x Solving 0.46 + -0.1x = -0.1 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 0.46 + -0.1x + -0.3x = -0.1 + 0.3x + -0.3x Combine like terms: -0.1x + -0.3x = -0.4x 0.46 + -0.4x = -0.1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.46 + -0.4x = -0.1 + 0.0 0.46 + -0.4x = -0.1 Add '-0.46' to each side of the equation. 0.46 + -0.46 + -0.4x = -0.1 + -0.46 Combine like terms: 0.46 + -0.46 = 0.00 0.00 + -0.4x = -0.1 + -0.46 -0.4x = -0.1 + -0.46 Combine like terms: -0.1 + -0.46 = -0.56 -0.4x = -0.56 Divide each side by '-0.4'. x = 1.4 Simplifying x = 1.4
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