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Simplifying (3x + 9 + -7y)(-5) = 0 Reorder the terms: (9 + 3x + -7y)(-5) = 0 Reorder the terms for easier multiplication: -5(9 + 3x + -7y) = 0 (9 * -5 + 3x * -5 + -7y * -5) = 0 (-45 + -15x + 35y) = 0 Solving -45 + -15x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -15x + 45 + 35y = 0 + 45 Reorder the terms: -45 + 45 + -15x + 35y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -15x + 35y = 0 + 45 -15x + 35y = 0 + 45 Combine like terms: 0 + 45 = 45 -15x + 35y = 45 Add '-35y' to each side of the equation. -15x + 35y + -35y = 45 + -35y Combine like terms: 35y + -35y = 0 -15x + 0 = 45 + -35y -15x = 45 + -35y Divide each side by '-15'. x = -3 + 2.333333333y Simplifying x = -3 + 2.333333333y
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