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Simplifying 9x + -6[4x + -2(x + -2y)] + -1[4x + -3(y + -2x)] + 14 = 0 9x + -6[4x + (x * -2 + -2y * -2)] + -1[4x + -3(y + -2x)] + 14 = 0 9x + -6[4x + (-2x + 4y)] + -1[4x + -3(y + -2x)] + 14 = 0 Combine like terms: 4x + -2x = 2x 9x + -6[2x + 4y] + -1[4x + -3(y + -2x)] + 14 = 0 9x + [2x * -6 + 4y * -6] + -1[4x + -3(y + -2x)] + 14 = 0 9x + [-12x + -24y] + -1[4x + -3(y + -2x)] + 14 = 0 Reorder the terms: 9x + -12x + -24y + -1[4x + -3(-2x + y)] + 14 = 0 9x + -12x + -24y + -1[4x + (-2x * -3 + y * -3)] + 14 = 0 9x + -12x + -24y + -1[4x + (6x + -3y)] + 14 = 0 Combine like terms: 4x + 6x = 10x 9x + -12x + -24y + -1[10x + -3y] + 14 = 0 9x + -12x + -24y + [10x * -1 + -3y * -1] + 14 = 0 9x + -12x + -24y + [-10x + 3y] + 14 = 0 Reorder the terms: 14 + 9x + -12x + -10x + -24y + 3y = 0 Combine like terms: 9x + -12x = -3x 14 + -3x + -10x + -24y + 3y = 0 Combine like terms: -3x + -10x = -13x 14 + -13x + -24y + 3y = 0 Combine like terms: -24y + 3y = -21y 14 + -13x + -21y = 0 Solving 14 + -13x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -13x + -14 + -21y = 0 + -14 Reorder the terms: 14 + -14 + -13x + -21y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -13x + -21y = 0 + -14 -13x + -21y = 0 + -14 Combine like terms: 0 + -14 = -14 -13x + -21y = -14 Add '21y' to each side of the equation. -13x + -21y + 21y = -14 + 21y Combine like terms: -21y + 21y = 0 -13x + 0 = -14 + 21y -13x = -14 + 21y Divide each side by '-13'. x = 1.076923077 + -1.615384615y Simplifying x = 1.076923077 + -1.615384615y
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