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Simplifying 1.5x + -1.4y + 4.6 = 0 Reorder the terms: 4.6 + 1.5x + -1.4y = 0 Solving 4.6 + 1.5x + -1.4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6' to each side of the equation. 4.6 + 1.5x + -4.6 + -1.4y = 0 + -4.6 Reorder the terms: 4.6 + -4.6 + 1.5x + -1.4y = 0 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 1.5x + -1.4y = 0 + -4.6 1.5x + -1.4y = 0 + -4.6 Combine like terms: 0 + -4.6 = -4.6 1.5x + -1.4y = -4.6 Add '1.4y' to each side of the equation. 1.5x + -1.4y + 1.4y = -4.6 + 1.4y Combine like terms: -1.4y + 1.4y = 0.0 1.5x + 0.0 = -4.6 + 1.4y 1.5x = -4.6 + 1.4y Divide each side by '1.5'. x = -3.066666667 + 0.9333333333y Simplifying x = -3.066666667 + 0.9333333333y
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