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Simplifying 2.4(x + 3.5y) + 2(1.4 + 1.9y) = 0 (x * 2.4 + 3.5y * 2.4) + 2(1.4 + 1.9y) = 0 (2.4x + 8.4y) + 2(1.4 + 1.9y) = 0 2.4x + 8.4y + (1.4 * 2 + 1.9y * 2) = 0 2.4x + 8.4y + (2.8 + 3.8y) = 0 Reorder the terms: 2.8 + 2.4x + 8.4y + 3.8y = 0 Combine like terms: 8.4y + 3.8y = 12.2y 2.8 + 2.4x + 12.2y = 0 Solving 2.8 + 2.4x + 12.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + 2.4x + -2.8 + 12.2y = 0 + -2.8 Reorder the terms: 2.8 + -2.8 + 2.4x + 12.2y = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 2.4x + 12.2y = 0 + -2.8 2.4x + 12.2y = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 2.4x + 12.2y = -2.8 Add '-12.2y' to each side of the equation. 2.4x + 12.2y + -12.2y = -2.8 + -12.2y Combine like terms: 12.2y + -12.2y = 0.0 2.4x + 0.0 = -2.8 + -12.2y 2.4x = -2.8 + -12.2y Divide each side by '2.4'. x = -1.166666667 + -5.083333333y Simplifying x = -1.166666667 + -5.083333333y
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