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Simplifying 4(x + 3y + -2) + 6x + 3 = 0 Reorder the terms: 4(-2 + x + 3y) + 6x + 3 = 0 (-2 * 4 + x * 4 + 3y * 4) + 6x + 3 = 0 (-8 + 4x + 12y) + 6x + 3 = 0 Reorder the terms: -8 + 3 + 4x + 6x + 12y = 0 Combine like terms: -8 + 3 = -5 -5 + 4x + 6x + 12y = 0 Combine like terms: 4x + 6x = 10x -5 + 10x + 12y = 0 Solving -5 + 10x + 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 + 10x + 5 + 12y = 0 + 5 Reorder the terms: -5 + 5 + 10x + 12y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10x + 12y = 0 + 5 10x + 12y = 0 + 5 Combine like terms: 0 + 5 = 5 10x + 12y = 5 Add '-12y' to each side of the equation. 10x + 12y + -12y = 5 + -12y Combine like terms: 12y + -12y = 0 10x + 0 = 5 + -12y 10x = 5 + -12y Divide each side by '10'. x = 0.5 + -1.2y Simplifying x = 0.5 + -1.2y
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