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Simplifying 0.4x + 0.4(30) = 0.2(x + 40) Multiply 0.4 * 30 0.4x + 12 = 0.2(x + 40) Reorder the terms: 12 + 0.4x = 0.2(x + 40) Reorder the terms: 12 + 0.4x = 0.2(40 + x) 12 + 0.4x = (40 * 0.2 + x * 0.2) 12 + 0.4x = (8 + 0.2x) Solving 12 + 0.4x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 12 + 0.4x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 12 + 0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 12 + 0.2x = 8 + 0.0 12 + 0.2x = 8 Add '-12' to each side of the equation. 12 + -12 + 0.2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 8 + -12 0.2x = 8 + -12 Combine like terms: 8 + -12 = -4 0.2x = -4 Divide each side by '0.2'. x = -20 Simplifying x = -20
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