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Simplifying 10 + 6x + 4y + -9x + -12y + 9 = 0 Reorder the terms: 10 + 9 + 6x + -9x + 4y + -12y = 0 Combine like terms: 10 + 9 = 19 19 + 6x + -9x + 4y + -12y = 0 Combine like terms: 6x + -9x = -3x 19 + -3x + 4y + -12y = 0 Combine like terms: 4y + -12y = -8y 19 + -3x + -8y = 0 Solving 19 + -3x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -3x + -19 + -8y = 0 + -19 Reorder the terms: 19 + -19 + -3x + -8y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3x + -8y = 0 + -19 -3x + -8y = 0 + -19 Combine like terms: 0 + -19 = -19 -3x + -8y = -19 Add '8y' to each side of the equation. -3x + -8y + 8y = -19 + 8y Combine like terms: -8y + 8y = 0 -3x + 0 = -19 + 8y -3x = -19 + 8y Divide each side by '-3'. x = 6.333333333 + -2.666666667y Simplifying x = 6.333333333 + -2.666666667y
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