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Simplifying -7x + 5(3x + 6y) + -6y + 2 = 0 -7x + (3x * 5 + 6y * 5) + -6y + 2 = 0 -7x + (15x + 30y) + -6y + 2 = 0 Reorder the terms: 2 + -7x + 15x + 30y + -6y = 0 Combine like terms: -7x + 15x = 8x 2 + 8x + 30y + -6y = 0 Combine like terms: 30y + -6y = 24y 2 + 8x + 24y = 0 Solving 2 + 8x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8x + -2 + 24y = 0 + -2 Reorder the terms: 2 + -2 + 8x + 24y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x + 24y = 0 + -2 8x + 24y = 0 + -2 Combine like terms: 0 + -2 = -2 8x + 24y = -2 Add '-24y' to each side of the equation. 8x + 24y + -24y = -2 + -24y Combine like terms: 24y + -24y = 0 8x + 0 = -2 + -24y 8x = -2 + -24y Divide each side by '8'. x = -0.25 + -3y Simplifying x = -0.25 + -3y
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