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Simplifying 0.4x + -0.06 + 0.1x = 0.4 + x Reorder the terms: -0.06 + 0.4x + 0.1x = 0.4 + x Combine like terms: 0.4x + 0.1x = 0.5x -0.06 + 0.5x = 0.4 + x Solving -0.06 + 0.5x = 0.4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.06 + 0.5x + -1x = 0.4 + x + -1x Combine like terms: 0.5x + -1x = -0.5x -0.06 + -0.5x = 0.4 + x + -1x Combine like terms: x + -1x = 0 -0.06 + -0.5x = 0.4 + 0 -0.06 + -0.5x = 0.4 Add '0.06' to each side of the equation. -0.06 + 0.06 + -0.5x = 0.4 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + -0.5x = 0.4 + 0.06 -0.5x = 0.4 + 0.06 Combine like terms: 0.4 + 0.06 = 0.46 -0.5x = 0.46 Divide each side by '-0.5'. x = -0.92 Simplifying x = -0.92
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