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Simplifying 3(x + -4) + 2(y + 7) = 0 Reorder the terms: 3(-4 + x) + 2(y + 7) = 0 (-4 * 3 + x * 3) + 2(y + 7) = 0 (-12 + 3x) + 2(y + 7) = 0 Reorder the terms: -12 + 3x + 2(7 + y) = 0 -12 + 3x + (7 * 2 + y * 2) = 0 -12 + 3x + (14 + 2y) = 0 Reorder the terms: -12 + 14 + 3x + 2y = 0 Combine like terms: -12 + 14 = 2 2 + 3x + 2y = 0 Solving 2 + 3x + 2y = 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 + 3x + -2 + 2y = 0 + -2 Reorder the terms: 2 + -2 + 3x + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + 2y = 0 + -2 3x + 2y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + 2y = -2 Add '-2y' to each side of the equation. 3x + 2y + -2y = -2 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = -2 + -2y 3x = -2 + -2y Divide each side by '3'. x = -0.6666666667 + -0.6666666667y Simplifying x = -0.6666666667 + -0.6666666667y
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