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Simplifying -0.4(6 + -1x) + -5(y + 0.3) = 0 (6 * -0.4 + -1x * -0.4) + -5(y + 0.3) = 0 (-2.4 + 0.4x) + -5(y + 0.3) = 0 Reorder the terms: -2.4 + 0.4x + -5(0.3 + y) = 0 -2.4 + 0.4x + (0.3 * -5 + y * -5) = 0 -2.4 + 0.4x + (-1.5 + -5y) = 0 Reorder the terms: -2.4 + -1.5 + 0.4x + -5y = 0 Combine like terms: -2.4 + -1.5 = -3.9 -3.9 + 0.4x + -5y = 0 Solving -3.9 + 0.4x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.9' to each side of the equation. -3.9 + 0.4x + 3.9 + -5y = 0 + 3.9 Reorder the terms: -3.9 + 3.9 + 0.4x + -5y = 0 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 0.4x + -5y = 0 + 3.9 0.4x + -5y = 0 + 3.9 Combine like terms: 0 + 3.9 = 3.9 0.4x + -5y = 3.9 Add '5y' to each side of the equation. 0.4x + -5y + 5y = 3.9 + 5y Combine like terms: -5y + 5y = 0 0.4x + 0 = 3.9 + 5y 0.4x = 3.9 + 5y Divide each side by '0.4'. x = 9.75 + 12.5y Simplifying x = 9.75 + 12.5y
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