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Simplifying 10x + -8y + -6x + -9y = 12x + -4y + -4 Reorder the terms: 10x + -6x + -8y + -9y = 12x + -4y + -4 Combine like terms: 10x + -6x = 4x 4x + -8y + -9y = 12x + -4y + -4 Combine like terms: -8y + -9y = -17y 4x + -17y = 12x + -4y + -4 Reorder the terms: 4x + -17y = -4 + 12x + -4y Solving 4x + -17y = -4 + 12x + -4y 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 + -17y = -4 + 12x + -12x + -4y Combine like terms: 4x + -12x = -8x -8x + -17y = -4 + 12x + -12x + -4y Combine like terms: 12x + -12x = 0 -8x + -17y = -4 + 0 + -4y -8x + -17y = -4 + -4y Add '17y' to each side of the equation. -8x + -17y + 17y = -4 + -4y + 17y Combine like terms: -17y + 17y = 0 -8x + 0 = -4 + -4y + 17y -8x = -4 + -4y + 17y Combine like terms: -4y + 17y = 13y -8x = -4 + 13y Divide each side by '-8'. x = 0.5 + -1.625y Simplifying x = 0.5 + -1.625y
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