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Simplifying 3[3x + -5(y + -3)] = 0 Reorder the terms: 3[3x + -5(-3 + y)] = 0 3[3x + (-3 * -5 + y * -5)] = 0 3[3x + (15 + -5y)] = 0 Reorder the terms: 3[15 + 3x + -5y] = 0 [15 * 3 + 3x * 3 + -5y * 3] = 0 [45 + 9x + -15y] = 0 Solving 45 + 9x + -15y = 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 + 9x + -45 + -15y = 0 + -45 Reorder the terms: 45 + -45 + 9x + -15y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9x + -15y = 0 + -45 9x + -15y = 0 + -45 Combine like terms: 0 + -45 = -45 9x + -15y = -45 Add '15y' to each side of the equation. 9x + -15y + 15y = -45 + 15y Combine like terms: -15y + 15y = 0 9x + 0 = -45 + 15y 9x = -45 + 15y Divide each side by '9'. x = -5 + 1.666666667y Simplifying x = -5 + 1.666666667y
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