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Simplifying 3(x + -5y) + 3 = 15x + 2y + -4z (x * 3 + -5y * 3) + 3 = 15x + 2y + -4z (3x + -15y) + 3 = 15x + 2y + -4z Reorder the terms: 3 + 3x + -15y = 15x + 2y + -4z Solving 3 + 3x + -15y = 15x + 2y + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 3 + 3x + -15x + -15y = 15x + 2y + -15x + -4z Combine like terms: 3x + -15x = -12x 3 + -12x + -15y = 15x + 2y + -15x + -4z Reorder the terms: 3 + -12x + -15y = 15x + -15x + 2y + -4z Combine like terms: 15x + -15x = 0 3 + -12x + -15y = 0 + 2y + -4z 3 + -12x + -15y = 2y + -4z Add '-3' to each side of the equation. 3 + -12x + -3 + -15y = 2y + -3 + -4z Reorder the terms: 3 + -3 + -12x + -15y = 2y + -3 + -4z Combine like terms: 3 + -3 = 0 0 + -12x + -15y = 2y + -3 + -4z -12x + -15y = 2y + -3 + -4z Reorder the terms: -12x + -15y = -3 + 2y + -4z Add '15y' to each side of the equation. -12x + -15y + 15y = -3 + 2y + 15y + -4z Combine like terms: -15y + 15y = 0 -12x + 0 = -3 + 2y + 15y + -4z -12x = -3 + 2y + 15y + -4z Combine like terms: 2y + 15y = 17y -12x = -3 + 17y + -4z Divide each side by '-12'. x = 0.25 + -1.416666667y + 0.3333333333z Simplifying x = 0.25 + -1.416666667y + 0.3333333333z
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