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Simplifying 9x + -12y + 9 = 19x + -15y + 10 Reorder the terms: 9 + 9x + -12y = 19x + -15y + 10 Reorder the terms: 9 + 9x + -12y = 10 + 19x + -15y Solving 9 + 9x + -12y = 10 + 19x + -15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + 9x + -19x + -12y = 10 + 19x + -19x + -15y Combine like terms: 9x + -19x = -10x 9 + -10x + -12y = 10 + 19x + -19x + -15y Combine like terms: 19x + -19x = 0 9 + -10x + -12y = 10 + 0 + -15y 9 + -10x + -12y = 10 + -15y Add '-9' to each side of the equation. 9 + -10x + -9 + -12y = 10 + -9 + -15y Reorder the terms: 9 + -9 + -10x + -12y = 10 + -9 + -15y Combine like terms: 9 + -9 = 0 0 + -10x + -12y = 10 + -9 + -15y -10x + -12y = 10 + -9 + -15y Combine like terms: 10 + -9 = 1 -10x + -12y = 1 + -15y Add '12y' to each side of the equation. -10x + -12y + 12y = 1 + -15y + 12y Combine like terms: -12y + 12y = 0 -10x + 0 = 1 + -15y + 12y -10x = 1 + -15y + 12y Combine like terms: -15y + 12y = -3y -10x = 1 + -3y Divide each side by '-10'. x = -0.1 + 0.3y Simplifying x = -0.1 + 0.3y
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