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Simplifying 0.4x + 0.4(20) = 0.3x(40) Multiply 0.4 * 20 0.4x + 8 = 0.3x(40) Reorder the terms: 8 + 0.4x = 0.3x(40) Reorder the terms for easier multiplication: 8 + 0.4x = 0.3 * 40x Multiply 0.3 * 40 8 + 0.4x = 12x Solving 8 + 0.4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 0.4x + -12x = 12x + -12x Combine like terms: 0.4x + -12x = -11.6x 8 + -11.6x = 12x + -12x Combine like terms: 12x + -12x = 0 8 + -11.6x = 0 Add '-8' to each side of the equation. 8 + -8 + -11.6x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11.6x = 0 + -8 -11.6x = 0 + -8 Combine like terms: 0 + -8 = -8 -11.6x = -8 Divide each side by '-11.6'. x = 0.6896551724 Simplifying x = 0.6896551724
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