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Simplifying 8x + -2[3(x + -1y) + 8(y + -2x)] = x + -3[2(y + -1) + -3x] 8x + -2[(x * 3 + -1y * 3) + 8(y + -2x)] = x + -3[2(y + -1) + -3x] 8x + -2[(3x + -3y) + 8(y + -2x)] = x + -3[2(y + -1) + -3x] Reorder the terms: 8x + -2[3x + -3y + 8(-2x + y)] = x + -3[2(y + -1) + -3x] 8x + -2[3x + -3y + (-2x * 8 + y * 8)] = x + -3[2(y + -1) + -3x] 8x + -2[3x + -3y + (-16x + 8y)] = x + -3[2(y + -1) + -3x] Reorder the terms: 8x + -2[3x + -16x + -3y + 8y] = x + -3[2(y + -1) + -3x] Combine like terms: 3x + -16x = -13x 8x + -2[-13x + -3y + 8y] = x + -3[2(y + -1) + -3x] Combine like terms: -3y + 8y = 5y 8x + -2[-13x + 5y] = x + -3[2(y + -1) + -3x] 8x + [-13x * -2 + 5y * -2] = x + -3[2(y + -1) + -3x] 8x + [26x + -10y] = x + -3[2(y + -1) + -3x] Combine like terms: 8x + 26x = 34x 34x + -10y = x + -3[2(y + -1) + -3x] Reorder the terms: 34x + -10y = x + -3[2(-1 + y) + -3x] 34x + -10y = x + -3[(-1 * 2 + y * 2) + -3x] 34x + -10y = x + -3[(-2 + 2y) + -3x] Reorder the terms: 34x + -10y = x + -3[-2 + -3x + 2y] 34x + -10y = x + [-2 * -3 + -3x * -3 + 2y * -3] 34x + -10y = x + [6 + 9x + -6y] Reorder the terms: 34x + -10y = 6 + x + 9x + -6y Combine like terms: x + 9x = 10x 34x + -10y = 6 + 10x + -6y Solving 34x + -10y = 6 + 10x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34x + -10x + -10y = 6 + 10x + -10x + -6y Combine like terms: 34x + -10x = 24x 24x + -10y = 6 + 10x + -10x + -6y Combine like terms: 10x + -10x = 0 24x + -10y = 6 + 0 + -6y 24x + -10y = 6 + -6y Add '10y' to each side of the equation. 24x + -10y + 10y = 6 + -6y + 10y Combine like terms: -10y + 10y = 0 24x + 0 = 6 + -6y + 10y 24x = 6 + -6y + 10y Combine like terms: -6y + 10y = 4y 24x = 6 + 4y Divide each side by '24'. x = 0.25 + 0.1666666667y Simplifying x = 0.25 + 0.1666666667y
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