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Simplifying 13x + 14y + 19 = 15 + 17 + -3x Reorder the terms: 19 + 13x + 14y = 15 + 17 + -3x Combine like terms: 15 + 17 = 32 19 + 13x + 14y = 32 + -3x Solving 19 + 13x + 14y = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 19 + 13x + 3x + 14y = 32 + -3x + 3x Combine like terms: 13x + 3x = 16x 19 + 16x + 14y = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 16x + 14y = 32 + 0 19 + 16x + 14y = 32 Add '-19' to each side of the equation. 19 + 16x + -19 + 14y = 32 + -19 Reorder the terms: 19 + -19 + 16x + 14y = 32 + -19 Combine like terms: 19 + -19 = 0 0 + 16x + 14y = 32 + -19 16x + 14y = 32 + -19 Combine like terms: 32 + -19 = 13 16x + 14y = 13 Add '-14y' to each side of the equation. 16x + 14y + -14y = 13 + -14y Combine like terms: 14y + -14y = 0 16x + 0 = 13 + -14y 16x = 13 + -14y Divide each side by '16'. x = 0.8125 + -0.875y Simplifying x = 0.8125 + -0.875y
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