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Simplifying -0.4(7 + -1x) + -5(y + 0.5) = 0 (7 * -0.4 + -1x * -0.4) + -5(y + 0.5) = 0 (-2.8 + 0.4x) + -5(y + 0.5) = 0 Reorder the terms: -2.8 + 0.4x + -5(0.5 + y) = 0 -2.8 + 0.4x + (0.5 * -5 + y * -5) = 0 -2.8 + 0.4x + (-2.5 + -5y) = 0 Reorder the terms: -2.8 + -2.5 + 0.4x + -5y = 0 Combine like terms: -2.8 + -2.5 = -5.3 -5.3 + 0.4x + -5y = 0 Solving -5.3 + 0.4x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.3' to each side of the equation. -5.3 + 0.4x + 5.3 + -5y = 0 + 5.3 Reorder the terms: -5.3 + 5.3 + 0.4x + -5y = 0 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 0.4x + -5y = 0 + 5.3 0.4x + -5y = 0 + 5.3 Combine like terms: 0 + 5.3 = 5.3 0.4x + -5y = 5.3 Add '5y' to each side of the equation. 0.4x + -5y + 5y = 5.3 + 5y Combine like terms: -5y + 5y = 0 0.4x + 0 = 5.3 + 5y 0.4x = 5.3 + 5y Divide each side by '0.4'. x = 13.25 + 12.5y Simplifying x = 13.25 + 12.5y
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