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Simplifying (6y + 3x) + -2(9y + -1x) + 5 = 0 Reorder the terms: (3x + 6y) + -2(9y + -1x) + 5 = 0 Remove parenthesis around (3x + 6y) 3x + 6y + -2(9y + -1x) + 5 = 0 Reorder the terms: 3x + 6y + -2(-1x + 9y) + 5 = 0 3x + 6y + (-1x * -2 + 9y * -2) + 5 = 0 3x + 6y + (2x + -18y) + 5 = 0 Reorder the terms: 5 + 3x + 2x + 6y + -18y = 0 Combine like terms: 3x + 2x = 5x 5 + 5x + 6y + -18y = 0 Combine like terms: 6y + -18y = -12y 5 + 5x + -12y = 0 Solving 5 + 5x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5x + -5 + -12y = 0 + -5 Reorder the terms: 5 + -5 + 5x + -12y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x + -12y = 0 + -5 5x + -12y = 0 + -5 Combine like terms: 0 + -5 = -5 5x + -12y = -5 Add '12y' to each side of the equation. 5x + -12y + 12y = -5 + 12y Combine like terms: -12y + 12y = 0 5x + 0 = -5 + 12y 5x = -5 + 12y Divide each side by '5'. x = -1 + 2.4y Simplifying x = -1 + 2.4y
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