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Simplifying 3x + -2(2x + 1) = 8 + 4x Reorder the terms: 3x + -2(1 + 2x) = 8 + 4x 3x + (1 * -2 + 2x * -2) = 8 + 4x 3x + (-2 + -4x) = 8 + 4x Reorder the terms: -2 + 3x + -4x = 8 + 4x Combine like terms: 3x + -4x = -1x -2 + -1x = 8 + 4x Solving -2 + -1x = 8 + 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. -2 + -1x + -4x = 8 + 4x + -4x Combine like terms: -1x + -4x = -5x -2 + -5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 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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