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Simplifying 4x + -1[3x + -2[y + -3(x + -1y)] + 4] = 0 4x + -1[3x + -2[y + (x * -3 + -1y * -3)] + 4] = 0 4x + -1[3x + -2[y + (-3x + 3y)] + 4] = 0 Reorder the terms: 4x + -1[3x + -2[-3x + y + 3y] + 4] = 0 Combine like terms: y + 3y = 4y 4x + -1[3x + -2[-3x + 4y] + 4] = 0 4x + -1[3x + [-3x * -2 + 4y * -2] + 4] = 0 4x + -1[3x + [6x + -8y] + 4] = 0 Reorder the terms: 4x + -1[4 + 3x + 6x + -8y] = 0 Combine like terms: 3x + 6x = 9x 4x + -1[4 + 9x + -8y] = 0 4x + [4 * -1 + 9x * -1 + -8y * -1] = 0 4x + [-4 + -9x + 8y] = 0 Reorder the terms: -4 + 4x + -9x + 8y = 0 Combine like terms: 4x + -9x = -5x -4 + -5x + 8y = 0 Solving -4 + -5x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5x + 4 + 8y = 0 + 4 Reorder the terms: -4 + 4 + -5x + 8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x + 8y = 0 + 4 -5x + 8y = 0 + 4 Combine like terms: 0 + 4 = 4 -5x + 8y = 4 Add '-8y' to each side of the equation. -5x + 8y + -8y = 4 + -8y Combine like terms: 8y + -8y = 0 -5x + 0 = 4 + -8y -5x = 4 + -8y Divide each side by '-5'. x = -0.8 + 1.6y Simplifying x = -0.8 + 1.6y
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