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Simplifying -2(1 + 2x) = 2(4 + -1x) + 3x (1 * -2 + 2x * -2) = 2(4 + -1x) + 3x (-2 + -4x) = 2(4 + -1x) + 3x -2 + -4x = (4 * 2 + -1x * 2) + 3x -2 + -4x = (8 + -2x) + 3x Combine like terms: -2x + 3x = 1x -2 + -4x = 8 + 1x Solving -2 + -4x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -4x + -1x = 8 + 1x + -1x Combine like terms: -4x + -1x = -5x -2 + -5x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -5x = 8 + 0 -2 + -5x = 8 Add '2' to each side of the equation. -2 + 2 + -5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 8 + 2 -5x = 8 + 2 Combine like terms: 8 + 2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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