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Simplifying 13x + 5 + -4y = 10x + -7 + 19y Reorder the terms: 5 + 13x + -4y = 10x + -7 + 19y Reorder the terms: 5 + 13x + -4y = -7 + 10x + 19y Solving 5 + 13x + -4y = -7 + 10x + 19y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 13x + -10x + -4y = -7 + 10x + -10x + 19y Combine like terms: 13x + -10x = 3x 5 + 3x + -4y = -7 + 10x + -10x + 19y Combine like terms: 10x + -10x = 0 5 + 3x + -4y = -7 + 0 + 19y 5 + 3x + -4y = -7 + 19y Add '-5' to each side of the equation. 5 + 3x + -5 + -4y = -7 + -5 + 19y Reorder the terms: 5 + -5 + 3x + -4y = -7 + -5 + 19y Combine like terms: 5 + -5 = 0 0 + 3x + -4y = -7 + -5 + 19y 3x + -4y = -7 + -5 + 19y Combine like terms: -7 + -5 = -12 3x + -4y = -12 + 19y Add '4y' to each side of the equation. 3x + -4y + 4y = -12 + 19y + 4y Combine like terms: -4y + 4y = 0 3x + 0 = -12 + 19y + 4y 3x = -12 + 19y + 4y Combine like terms: 19y + 4y = 23y 3x = -12 + 23y Divide each side by '3'. x = -4 + 7.666666667y Simplifying x = -4 + 7.666666667y
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