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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: 30 + 1.2x = 0.4 + x Solving 30 + 1.2x = 0.4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 1.2x + -1x = 0.4 + x + -1x Combine like terms: 1.2x + -1x = 0.2x 30 + 0.2x = 0.4 + x + -1x Combine like terms: x + -1x = 0 30 + 0.2x = 0.4 + 0 30 + 0.2x = 0.4 Add '-30' to each side of the equation. 30 + -30 + 0.2x = 0.4 + -30 Combine like terms: 30 + -30 = 0 0 + 0.2x = 0.4 + -30 0.2x = 0.4 + -30 Combine like terms: 0.4 + -30 = -29.6 0.2x = -29.6 Divide each side by '0.2'. x = -148 Simplifying x = -148
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