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Simplifying 4(7x + -2y + 3) + -5(3y + 5x + -1) = 0 Reorder the terms: 4(3 + 7x + -2y) + -5(3y + 5x + -1) = 0 (3 * 4 + 7x * 4 + -2y * 4) + -5(3y + 5x + -1) = 0 (12 + 28x + -8y) + -5(3y + 5x + -1) = 0 Reorder the terms: 12 + 28x + -8y + -5(-1 + 5x + 3y) = 0 12 + 28x + -8y + (-1 * -5 + 5x * -5 + 3y * -5) = 0 12 + 28x + -8y + (5 + -25x + -15y) = 0 Reorder the terms: 12 + 5 + 28x + -25x + -8y + -15y = 0 Combine like terms: 12 + 5 = 17 17 + 28x + -25x + -8y + -15y = 0 Combine like terms: 28x + -25x = 3x 17 + 3x + -8y + -15y = 0 Combine like terms: -8y + -15y = -23y 17 + 3x + -23y = 0 Solving 17 + 3x + -23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 3x + -17 + -23y = 0 + -17 Reorder the terms: 17 + -17 + 3x + -23y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x + -23y = 0 + -17 3x + -23y = 0 + -17 Combine like terms: 0 + -17 = -17 3x + -23y = -17 Add '23y' to each side of the equation. 3x + -23y + 23y = -17 + 23y Combine like terms: -23y + 23y = 0 3x + 0 = -17 + 23y 3x = -17 + 23y Divide each side by '3'. x = -5.666666667 + 7.666666667y Simplifying x = -5.666666667 + 7.666666667y
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