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Simplifying 5y + -10y + 4x = 12x Reorder the terms: 4x + 5y + -10y = 12x Combine like terms: 5y + -10y = -5y 4x + -5y = 12x Solving 4x + -5y = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4x + -12x + -5y = 12x + -12x Combine like terms: 4x + -12x = -8x -8x + -5y = 12x + -12x Combine like terms: 12x + -12x = 0 -8x + -5y = 0 Add '5y' to each side of the equation. -8x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -8x + 0 = 0 + 5y -8x = 0 + 5y Remove the zero: -8x = 5y Divide each side by '-8'. x = -0.625y Simplifying x = -0.625y
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