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Simplifying -5(3x + -4y + 7) = 0 Reorder the terms: -5(7 + 3x + -4y) = 0 (7 * -5 + 3x * -5 + -4y * -5) = 0 (-35 + -15x + 20y) = 0 Solving -35 + -15x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -15x + 35 + 20y = 0 + 35 Reorder the terms: -35 + 35 + -15x + 20y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -15x + 20y = 0 + 35 -15x + 20y = 0 + 35 Combine like terms: 0 + 35 = 35 -15x + 20y = 35 Add '-20y' to each side of the equation. -15x + 20y + -20y = 35 + -20y Combine like terms: 20y + -20y = 0 -15x + 0 = 35 + -20y -15x = 35 + -20y Divide each side by '-15'. x = -2.333333333 + 1.333333333y Simplifying x = -2.333333333 + 1.333333333y
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