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Simplifying 5x + 12y + 20 = 6x + 3y + 30 Reorder the terms: 20 + 5x + 12y = 6x + 3y + 30 Reorder the terms: 20 + 5x + 12y = 30 + 6x + 3y Solving 20 + 5x + 12y = 30 + 6x + 3y 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. 20 + 5x + -6x + 12y = 30 + 6x + -6x + 3y Combine like terms: 5x + -6x = -1x 20 + -1x + 12y = 30 + 6x + -6x + 3y Combine like terms: 6x + -6x = 0 20 + -1x + 12y = 30 + 0 + 3y 20 + -1x + 12y = 30 + 3y Add '-20' to each side of the equation. 20 + -1x + -20 + 12y = 30 + -20 + 3y Reorder the terms: 20 + -20 + -1x + 12y = 30 + -20 + 3y Combine like terms: 20 + -20 = 0 0 + -1x + 12y = 30 + -20 + 3y -1x + 12y = 30 + -20 + 3y Combine like terms: 30 + -20 = 10 -1x + 12y = 10 + 3y Add '-12y' to each side of the equation. -1x + 12y + -12y = 10 + 3y + -12y Combine like terms: 12y + -12y = 0 -1x + 0 = 10 + 3y + -12y -1x = 10 + 3y + -12y Combine like terms: 3y + -12y = -9y -1x = 10 + -9y Divide each side by '-1'. x = -10 + 9y Simplifying x = -10 + 9y
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