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Simplifying -6 + 2(1 + 2x) = -40 + -2x -6 + (1 * 2 + 2x * 2) = -40 + -2x -6 + (2 + 4x) = -40 + -2x Combine like terms: -6 + 2 = -4 -4 + 4x = -40 + -2x Solving -4 + 4x = -40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 4x + 2x = -40 + -2x + 2x Combine like terms: 4x + 2x = 6x -4 + 6x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 6x = -40 + 0 -4 + 6x = -40 Add '4' to each side of the equation. -4 + 4 + 6x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -40 + 4 6x = -40 + 4 Combine like terms: -40 + 4 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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