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Simplifying 0.6x + 0.4(30) = 0.3(x + 40) Multiply 0.4 * 30 0.6x + 12 = 0.3(x + 40) Reorder the terms: 12 + 0.6x = 0.3(x + 40) Reorder the terms: 12 + 0.6x = 0.3(40 + x) 12 + 0.6x = (40 * 0.3 + x * 0.3) 12 + 0.6x = (12 + 0.3x) Add '-12' to each side of the equation. 12 + -12 + 0.6x = 12 + -12 + 0.3x Combine like terms: 12 + -12 = 0 0 + 0.6x = 12 + -12 + 0.3x 0.6x = 12 + -12 + 0.3x Combine like terms: 12 + -12 = 0 0.6x = 0 + 0.3x 0.6x = 0.3x Solving 0.6x = 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. 0.6x + -0.3x = 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 0.3x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.3x = 0.0 Divide each side by '0.3'. x = 0 Simplifying x = 0
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