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Simplifying 7x + -2(3 + -2x) = 7x + 2(x + -8) 7x + (3 * -2 + -2x * -2) = 7x + 2(x + -8) 7x + (-6 + 4x) = 7x + 2(x + -8) Reorder the terms: -6 + 7x + 4x = 7x + 2(x + -8) Combine like terms: 7x + 4x = 11x -6 + 11x = 7x + 2(x + -8) Reorder the terms: -6 + 11x = 7x + 2(-8 + x) -6 + 11x = 7x + (-8 * 2 + x * 2) -6 + 11x = 7x + (-16 + 2x) Reorder the terms: -6 + 11x = -16 + 7x + 2x Combine like terms: 7x + 2x = 9x -6 + 11x = -16 + 9x Solving -6 + 11x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 11x + -9x = -16 + 9x + -9x Combine like terms: 11x + -9x = 2x -6 + 2x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 2x = -16 + 0 -6 + 2x = -16 Add '6' to each side of the equation. -6 + 6 + 2x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -16 + 6 2x = -16 + 6 Combine like terms: -16 + 6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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