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Simplifying 3(x + y) + y + 8(y + 2) + 12x = 0 (x * 3 + y * 3) + y + 8(y + 2) + 12x = 0 (3x + 3y) + y + 8(y + 2) + 12x = 0 Reorder the terms: 3x + 3y + y + 8(2 + y) + 12x = 0 3x + 3y + y + (2 * 8 + y * 8) + 12x = 0 3x + 3y + y + (16 + 8y) + 12x = 0 Reorder the terms: 16 + 3x + 12x + 3y + y + 8y = 0 Combine like terms: 3x + 12x = 15x 16 + 15x + 3y + y + 8y = 0 Combine like terms: 3y + y = 4y 16 + 15x + 4y + 8y = 0 Combine like terms: 4y + 8y = 12y 16 + 15x + 12y = 0 Solving 16 + 15x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 15x + -16 + 12y = 0 + -16 Reorder the terms: 16 + -16 + 15x + 12y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15x + 12y = 0 + -16 15x + 12y = 0 + -16 Combine like terms: 0 + -16 = -16 15x + 12y = -16 Add '-12y' to each side of the equation. 15x + 12y + -12y = -16 + -12y Combine like terms: 12y + -12y = 0 15x + 0 = -16 + -12y 15x = -16 + -12y Divide each side by '15'. x = -1.066666667 + -0.8y Simplifying x = -1.066666667 + -0.8y
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