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Simplifying -3[2(x + 4y) + -1(x + -4)] = 1 -3[(x * 2 + 4y * 2) + -1(x + -4)] = 1 -3[(2x + 8y) + -1(x + -4)] = 1 Reorder the terms: -3[2x + 8y + -1(-4 + x)] = 1 -3[2x + 8y + (-4 * -1 + x * -1)] = 1 -3[2x + 8y + (4 + -1x)] = 1 Reorder the terms: -3[4 + 2x + -1x + 8y] = 1 Combine like terms: 2x + -1x = 1x -3[4 + 1x + 8y] = 1 [4 * -3 + 1x * -3 + 8y * -3] = 1 [-12 + -3x + -24y] = 1 Solving -12 + -3x + -24y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3x + 12 + -24y = 1 + 12 Reorder the terms: -12 + 12 + -3x + -24y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -3x + -24y = 1 + 12 -3x + -24y = 1 + 12 Combine like terms: 1 + 12 = 13 -3x + -24y = 13 Add '24y' to each side of the equation. -3x + -24y + 24y = 13 + 24y Combine like terms: -24y + 24y = 0 -3x + 0 = 13 + 24y -3x = 13 + 24y Divide each side by '-3'. x = -4.333333333 + -8y Simplifying x = -4.333333333 + -8y
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