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