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Simplifying 15y + 19x + -10 = 78 + -6y + 13x Reorder the terms: -10 + 19x + 15y = 78 + -6y + 13x Reorder the terms: -10 + 19x + 15y = 78 + 13x + -6y Solving -10 + 19x + 15y = 78 + 13x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 19x + -13x + 15y = 78 + 13x + -13x + -6y Combine like terms: 19x + -13x = 6x -10 + 6x + 15y = 78 + 13x + -13x + -6y Combine like terms: 13x + -13x = 0 -10 + 6x + 15y = 78 + 0 + -6y -10 + 6x + 15y = 78 + -6y Add '10' to each side of the equation. -10 + 6x + 10 + 15y = 78 + 10 + -6y Reorder the terms: -10 + 10 + 6x + 15y = 78 + 10 + -6y Combine like terms: -10 + 10 = 0 0 + 6x + 15y = 78 + 10 + -6y 6x + 15y = 78 + 10 + -6y Combine like terms: 78 + 10 = 88 6x + 15y = 88 + -6y Add '-15y' to each side of the equation. 6x + 15y + -15y = 88 + -6y + -15y Combine like terms: 15y + -15y = 0 6x + 0 = 88 + -6y + -15y 6x = 88 + -6y + -15y Combine like terms: -6y + -15y = -21y 6x = 88 + -21y Divide each side by '6'. x = 14.66666667 + -3.5y Simplifying x = 14.66666667 + -3.5y
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