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Simplifying 0.6x + 0.3(40) = 0.4(x + 30) Multiply 0.3 * 40 0.6x + 12 = 0.4(x + 30) Reorder the terms: 12 + 0.6x = 0.4(x + 30) Reorder the terms: 12 + 0.6x = 0.4(30 + x) 12 + 0.6x = (30 * 0.4 + x * 0.4) 12 + 0.6x = (12 + 0.4x) Add '-12' to each side of the equation. 12 + -12 + 0.6x = 12 + -12 + 0.4x Combine like terms: 12 + -12 = 0 0 + 0.6x = 12 + -12 + 0.4x 0.6x = 12 + -12 + 0.4x Combine like terms: 12 + -12 = 0 0.6x = 0 + 0.4x 0.6x = 0.4x Solving 0.6x = 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 0.6x + -0.4x = 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 0.2x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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