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Simplifying 6x + 40 = -2(3 + -2x) Reorder the terms: 40 + 6x = -2(3 + -2x) 40 + 6x = (3 * -2 + -2x * -2) 40 + 6x = (-6 + 4x) Solving 40 + 6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 40 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 2x = -6 + 0 40 + 2x = -6 Add '-40' to each side of the equation. 40 + -40 + 2x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = -6 + -40 2x = -6 + -40 Combine like terms: -6 + -40 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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