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Simplifying -4(3x + -7) + 2(y + -4x + 3) = 0 Reorder the terms: -4(-7 + 3x) + 2(y + -4x + 3) = 0 (-7 * -4 + 3x * -4) + 2(y + -4x + 3) = 0 (28 + -12x) + 2(y + -4x + 3) = 0 Reorder the terms: 28 + -12x + 2(3 + -4x + y) = 0 28 + -12x + (3 * 2 + -4x * 2 + y * 2) = 0 28 + -12x + (6 + -8x + 2y) = 0 Reorder the terms: 28 + 6 + -12x + -8x + 2y = 0 Combine like terms: 28 + 6 = 34 34 + -12x + -8x + 2y = 0 Combine like terms: -12x + -8x = -20x 34 + -20x + 2y = 0 Solving 34 + -20x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -20x + -34 + 2y = 0 + -34 Reorder the terms: 34 + -34 + -20x + 2y = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -20x + 2y = 0 + -34 -20x + 2y = 0 + -34 Combine like terms: 0 + -34 = -34 -20x + 2y = -34 Add '-2y' to each side of the equation. -20x + 2y + -2y = -34 + -2y Combine like terms: 2y + -2y = 0 -20x + 0 = -34 + -2y -20x = -34 + -2y Divide each side by '-20'. x = 1.7 + 0.1y Simplifying x = 1.7 + 0.1y
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