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Simplifying 6x + 25 + -1y = 12x + -36 + -1y Reorder the terms: 25 + 6x + -1y = 12x + -36 + -1y Reorder the terms: 25 + 6x + -1y = -36 + 12x + -1y Add 'y' to each side of the equation. 25 + 6x + -1y + y = -36 + 12x + -1y + y Combine like terms: -1y + y = 0 25 + 6x + 0 = -36 + 12x + -1y + y 25 + 6x = -36 + 12x + -1y + y Combine like terms: -1y + y = 0 25 + 6x = -36 + 12x + 0 25 + 6x = -36 + 12x Solving 25 + 6x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 25 + 6x + -12x = -36 + 12x + -12x Combine like terms: 6x + -12x = -6x 25 + -6x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 25 + -6x = -36 + 0 25 + -6x = -36 Add '-25' to each side of the equation. 25 + -25 + -6x = -36 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = -36 + -25 -6x = -36 + -25 Combine like terms: -36 + -25 = -61 -6x = -61 Divide each side by '-6'. x = 10.16666667 Simplifying x = 10.16666667
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