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Simplifying 5x + 3y + 1 = x * 6 + y * 12 + 1 Reorder the terms: 1 + 5x + 3y = x * 6 + y * 12 + 1 Reorder the terms for easier multiplication: 1 + 5x + 3y = 6x + y * 12 + 1 Reorder the terms for easier multiplication: 1 + 5x + 3y = 6x + 12y + 1 Reorder the terms: 1 + 5x + 3y = 1 + 6x + 12y Add '-1' to each side of the equation. 1 + 5x + -1 + 3y = 1 + 6x + -1 + 12y Reorder the terms: 1 + -1 + 5x + 3y = 1 + 6x + -1 + 12y Combine like terms: 1 + -1 = 0 0 + 5x + 3y = 1 + 6x + -1 + 12y 5x + 3y = 1 + 6x + -1 + 12y Reorder the terms: 5x + 3y = 1 + -1 + 6x + 12y Combine like terms: 1 + -1 = 0 5x + 3y = 0 + 6x + 12y 5x + 3y = 6x + 12y Solving 5x + 3y = 6x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5x + -6x + 3y = 6x + -6x + 12y Combine like terms: 5x + -6x = -1x -1x + 3y = 6x + -6x + 12y Combine like terms: 6x + -6x = 0 -1x + 3y = 0 + 12y -1x + 3y = 12y Add '-3y' to each side of the equation. -1x + 3y + -3y = 12y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 12y + -3y -1x = 12y + -3y Combine like terms: 12y + -3y = 9y -1x = 9y Divide each side by '-1'. x = -9y Simplifying x = -9y
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