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Simplifying 4 + -2(3 + 2x) = x + 8 4 + (3 * -2 + 2x * -2) = x + 8 4 + (-6 + -4x) = x + 8 Combine like terms: 4 + -6 = -2 -2 + -4x = x + 8 Reorder the terms: -2 + -4x = 8 + x Solving -2 + -4x = 8 + x 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 + x + -1x Combine like terms: -4x + -1x = -5x -2 + -5x = 8 + x + -1x Combine like terms: x + -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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