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Simplifying 0.3x + 0.25 = 0.4 + -0.6x + 0.4 Reorder the terms: 0.25 + 0.3x = 0.4 + -0.6x + 0.4 Reorder the terms: 0.25 + 0.3x = 0.4 + 0.4 + -0.6x Combine like terms: 0.4 + 0.4 = 0.8 0.25 + 0.3x = 0.8 + -0.6x Solving 0.25 + 0.3x = 0.8 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 0.25 + 0.3x + 0.6x = 0.8 + -0.6x + 0.6x Combine like terms: 0.3x + 0.6x = 0.9x 0.25 + 0.9x = 0.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.25 + 0.9x = 0.8 + 0.0 0.25 + 0.9x = 0.8 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.9x = 0.8 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.9x = 0.8 + -0.25 0.9x = 0.8 + -0.25 Combine like terms: 0.8 + -0.25 = 0.55 0.9x = 0.55 Divide each side by '0.9'. x = 0.6111111111 Simplifying x = 0.6111111111
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