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Simplifying x(1 + 0.2) + 30 = x * 0.4 Combine like terms: 1 + 0.2 = 1.2 x(1.2) + 30 = x * 0.4 Reorder the terms for easier multiplication: 1.2x + 30 = x * 0.4 Reorder the terms: 30 + 1.2x = x * 0.4 Reorder the terms for easier multiplication: 30 + 1.2x = 0.4x Solving 30 + 1.2x = 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. 30 + 1.2x + -0.4x = 0.4x + -0.4x Combine like terms: 1.2x + -0.4x = 0.8x 30 + 0.8x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 30 + 0.8x = 0.0 Add '-30' to each side of the equation. 30 + -30 + 0.8x = 0.0 + -30 Combine like terms: 30 + -30 = 0 0 + 0.8x = 0.0 + -30 0.8x = 0.0 + -30 Combine like terms: 0.0 + -30 = -30 0.8x = -30 Divide each side by '0.8'. x = -37.5 Simplifying x = -37.5
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