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