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Simplifying 1.5(x + 2.6y) + 4(2.6 + 1.7y) = 0 (x * 1.5 + 2.6y * 1.5) + 4(2.6 + 1.7y) = 0 (1.5x + 3.9y) + 4(2.6 + 1.7y) = 0 1.5x + 3.9y + (2.6 * 4 + 1.7y * 4) = 0 1.5x + 3.9y + (10.4 + 6.8y) = 0 Reorder the terms: 10.4 + 1.5x + 3.9y + 6.8y = 0 Combine like terms: 3.9y + 6.8y = 10.7y 10.4 + 1.5x + 10.7y = 0 Solving 10.4 + 1.5x + 10.7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.4' to each side of the equation. 10.4 + 1.5x + -10.4 + 10.7y = 0 + -10.4 Reorder the terms: 10.4 + -10.4 + 1.5x + 10.7y = 0 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 1.5x + 10.7y = 0 + -10.4 1.5x + 10.7y = 0 + -10.4 Combine like terms: 0 + -10.4 = -10.4 1.5x + 10.7y = -10.4 Add '-10.7y' to each side of the equation. 1.5x + 10.7y + -10.7y = -10.4 + -10.7y Combine like terms: 10.7y + -10.7y = 0.0 1.5x + 0.0 = -10.4 + -10.7y 1.5x = -10.4 + -10.7y Divide each side by '1.5'. x = -6.933333333 + -7.133333333y Simplifying x = -6.933333333 + -7.133333333y
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