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Simplifying -5(3x + -2y + 6) = 0 Reorder the terms: -5(6 + 3x + -2y) = 0 (6 * -5 + 3x * -5 + -2y * -5) = 0 (-30 + -15x + 10y) = 0 Solving -30 + -15x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -15x + 30 + 10y = 0 + 30 Reorder the terms: -30 + 30 + -15x + 10y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15x + 10y = 0 + 30 -15x + 10y = 0 + 30 Combine like terms: 0 + 30 = 30 -15x + 10y = 30 Add '-10y' to each side of the equation. -15x + 10y + -10y = 30 + -10y Combine like terms: 10y + -10y = 0 -15x + 0 = 30 + -10y -15x = 30 + -10y Divide each side by '-15'. x = -2 + 0.6666666667y Simplifying x = -2 + 0.6666666667y
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