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Simplifying 0.8(1.3 + -3x + 5y) = 0 (1.3 * 0.8 + -3x * 0.8 + 5y * 0.8) = 0 (1.04 + -2.4x + 4y) = 0 Solving 1.04 + -2.4x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.04' to each side of the equation. 1.04 + -2.4x + -1.04 + 4y = 0 + -1.04 Reorder the terms: 1.04 + -1.04 + -2.4x + 4y = 0 + -1.04 Combine like terms: 1.04 + -1.04 = 0.00 0.00 + -2.4x + 4y = 0 + -1.04 -2.4x + 4y = 0 + -1.04 Combine like terms: 0 + -1.04 = -1.04 -2.4x + 4y = -1.04 Add '-4y' to each side of the equation. -2.4x + 4y + -4y = -1.04 + -4y Combine like terms: 4y + -4y = 0 -2.4x + 0 = -1.04 + -4y -2.4x = -1.04 + -4y Divide each side by '-2.4'. x = 0.4333333333 + 1.666666667y Simplifying x = 0.4333333333 + 1.666666667y
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