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Simplifying -6(2x + -3) + (-8) + -3(x + 4) + 5x + -1(6x + -2) = 0 Reorder the terms: -6(-3 + 2x) + (-8) + -3(x + 4) + 5x + -1(6x + -2) = 0 (-3 * -6 + 2x * -6) + (-8) + -3(x + 4) + 5x + -1(6x + -2) = 0 (18 + -12x) + (-8) + -3(x + 4) + 5x + -1(6x + -2) = 0 18 + -12x + -8 + -3(x + 4) + 5x + -1(6x + -2) = 0 Reorder the terms: 18 + -12x + -8 + -3(4 + x) + 5x + -1(6x + -2) = 0 18 + -12x + -8 + (4 * -3 + x * -3) + 5x + -1(6x + -2) = 0 18 + -12x + -8 + (-12 + -3x) + 5x + -1(6x + -2) = 0 Reorder the terms: 18 + -12x + -8 + -12 + -3x + 5x + -1(-2 + 6x) = 0 18 + -12x + -8 + -12 + -3x + 5x + (-2 * -1 + 6x * -1) = 0 18 + -12x + -8 + -12 + -3x + 5x + (2 + -6x) = 0 Reorder the terms: 18 + -8 + -12 + 2 + -12x + -3x + 5x + -6x = 0 Combine like terms: 18 + -8 = 10 10 + -12 + 2 + -12x + -3x + 5x + -6x = 0 Combine like terms: 10 + -12 = -2 -2 + 2 + -12x + -3x + 5x + -6x = 0 Combine like terms: -2 + 2 = 0 0 + -12x + -3x + 5x + -6x = 0 -12x + -3x + 5x + -6x = 0 Combine like terms: -12x + -3x = -15x -15x + 5x + -6x = 0 Combine like terms: -15x + 5x = -10x -10x + -6x = 0 Combine like terms: -10x + -6x = -16x -16x = 0 Solving -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-16'. x = 0 Simplifying x = 0
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