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Simplifying 5(4x + -1(3 + -5y + 6x) + 2y) = 0 Reorder the terms: 5(4x + -1(3 + 6x + -5y) + 2y) = 0 5(4x + (3 * -1 + 6x * -1 + -5y * -1) + 2y) = 0 5(4x + (-3 + -6x + 5y) + 2y) = 0 Reorder the terms: 5(-3 + 4x + -6x + 5y + 2y) = 0 Combine like terms: 4x + -6x = -2x 5(-3 + -2x + 5y + 2y) = 0 Combine like terms: 5y + 2y = 7y 5(-3 + -2x + 7y) = 0 (-3 * 5 + -2x * 5 + 7y * 5) = 0 (-15 + -10x + 35y) = 0 Solving -15 + -10x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -10x + 15 + 35y = 0 + 15 Reorder the terms: -15 + 15 + -10x + 35y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -10x + 35y = 0 + 15 -10x + 35y = 0 + 15 Combine like terms: 0 + 15 = 15 -10x + 35y = 15 Add '-35y' to each side of the equation. -10x + 35y + -35y = 15 + -35y Combine like terms: 35y + -35y = 0 -10x + 0 = 15 + -35y -10x = 15 + -35y Divide each side by '-10'. x = -1.5 + 3.5y Simplifying x = -1.5 + 3.5y
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