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Simplifying 0.4(x + y) + 42 = 0 (x * 0.4 + y * 0.4) + 42 = 0 (0.4x + 0.4y) + 42 = 0 Reorder the terms: 42 + 0.4x + 0.4y = 0 Solving 42 + 0.4x + 0.4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 0.4x + -42 + 0.4y = 0 + -42 Reorder the terms: 42 + -42 + 0.4x + 0.4y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 0.4x + 0.4y = 0 + -42 0.4x + 0.4y = 0 + -42 Combine like terms: 0 + -42 = -42 0.4x + 0.4y = -42 Add '-0.4y' to each side of the equation. 0.4x + 0.4y + -0.4y = -42 + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 0.4x + 0.0 = -42 + -0.4y 0.4x = -42 + -0.4y Divide each side by '0.4'. x = -105 + -1y Simplifying x = -105 + -1y
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