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Simplifying (12x + -3y + -12z) + (-4x + -10y + 12z) = 0 Remove parenthesis around (12x + -3y + -12z) 12x + -3y + -12z + (-4x + -10y + 12z) = 0 Remove parenthesis around (-4x + -10y + 12z) 12x + -3y + -12z + -4x + -10y + 12z = 0 Reorder the terms: 12x + -4x + -3y + -10y + -12z + 12z = 0 Combine like terms: 12x + -4x = 8x 8x + -3y + -10y + -12z + 12z = 0 Combine like terms: -3y + -10y = -13y 8x + -13y + -12z + 12z = 0 Combine like terms: -12z + 12z = 0 8x + -13y + 0 = 0 8x + -13y = 0 Solving 8x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 8x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 8x + 0 = 0 + 13y 8x = 0 + 13y Remove the zero: 8x = 13y Divide each side by '8'. x = 1.625y Simplifying x = 1.625y
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