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Simplifying 6(7 + 2x) + -8x + -1(y + 4) = 12 (7 * 6 + 2x * 6) + -8x + -1(y + 4) = 12 (42 + 12x) + -8x + -1(y + 4) = 12 Reorder the terms: 42 + 12x + -8x + -1(4 + y) = 12 42 + 12x + -8x + (4 * -1 + y * -1) = 12 42 + 12x + -8x + (-4 + -1y) = 12 Reorder the terms: 42 + -4 + 12x + -8x + -1y = 12 Combine like terms: 42 + -4 = 38 38 + 12x + -8x + -1y = 12 Combine like terms: 12x + -8x = 4x 38 + 4x + -1y = 12 Solving 38 + 4x + -1y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + 4x + -38 + -1y = 12 + -38 Reorder the terms: 38 + -38 + 4x + -1y = 12 + -38 Combine like terms: 38 + -38 = 0 0 + 4x + -1y = 12 + -38 4x + -1y = 12 + -38 Combine like terms: 12 + -38 = -26 4x + -1y = -26 Add 'y' to each side of the equation. 4x + -1y + y = -26 + y Combine like terms: -1y + y = 0 4x + 0 = -26 + y 4x = -26 + y Divide each side by '4'. x = -6.5 + 0.25y Simplifying x = -6.5 + 0.25y
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