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Simplifying -5(2x + 3y + 1) = 0 Reorder the terms: -5(1 + 2x + 3y) = 0 (1 * -5 + 2x * -5 + 3y * -5) = 0 (-5 + -10x + -15y) = 0 Solving -5 + -10x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -10x + 5 + -15y = 0 + 5 Reorder the terms: -5 + 5 + -10x + -15y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -10x + -15y = 0 + 5 -10x + -15y = 0 + 5 Combine like terms: 0 + 5 = 5 -10x + -15y = 5 Add '15y' to each side of the equation. -10x + -15y + 15y = 5 + 15y Combine like terms: -15y + 15y = 0 -10x + 0 = 5 + 15y -10x = 5 + 15y Divide each side by '-10'. x = -0.5 + -1.5y Simplifying x = -0.5 + -1.5y
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