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Simplifying 6(3 + -1X) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2 (3 * 6 + -1X * 6) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2 (18 + -6X) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2 Reorder the terms: 18 + -6X + -2 * -2(-2 + 4x) = 14x + -6(x + -3) + 2 Multiply -2 * -2 18 + -6X + 4(-2 + 4x) = 14x + -6(x + -3) + 2 18 + -6X + (-2 * 4 + 4x * 4) = 14x + -6(x + -3) + 2 18 + -6X + (-8 + 16x) = 14x + -6(x + -3) + 2 Reorder the terms: 18 + -8 + -6X + 16x = 14x + -6(x + -3) + 2 Combine like terms: 18 + -8 = 10 10 + -6X + 16x = 14x + -6(x + -3) + 2 Reorder the terms: 10 + -6X + 16x = 14x + -6(-3 + x) + 2 10 + -6X + 16x = 14x + (-3 * -6 + x * -6) + 2 10 + -6X + 16x = 14x + (18 + -6x) + 2 Reorder the terms: 10 + -6X + 16x = 18 + 2 + 14x + -6x Combine like terms: 18 + 2 = 20 10 + -6X + 16x = 20 + 14x + -6x Combine like terms: 14x + -6x = 8x 10 + -6X + 16x = 20 + 8x Solving 10 + -6X + 16x = 20 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -6X + -10 + 16x = 20 + -10 + 8x Reorder the terms: 10 + -10 + -6X + 16x = 20 + -10 + 8x Combine like terms: 10 + -10 = 0 0 + -6X + 16x = 20 + -10 + 8x -6X + 16x = 20 + -10 + 8x Combine like terms: 20 + -10 = 10 -6X + 16x = 10 + 8x Add '-16x' to each side of the equation. -6X + 16x + -16x = 10 + 8x + -16x Combine like terms: 16x + -16x = 0 -6X + 0 = 10 + 8x + -16x -6X = 10 + 8x + -16x Combine like terms: 8x + -16x = -8x -6X = 10 + -8x Divide each side by '-6'. X = -1.666666667 + 1.333333333x Simplifying X = -1.666666667 + 1.333333333x
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