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Simplifying 4(x + 1) = 4(2 + -1x) Reorder the terms: 4(1 + x) = 4(2 + -1x) (1 * 4 + x * 4) = 4(2 + -1x) (4 + 4x) = 4(2 + -1x) 4 + 4x = (2 * 4 + -1x * 4) 4 + 4x = (8 + -4x) Solving 4 + 4x = 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. 4 + 4x + 4x = 8 + -4x + 4x Combine like terms: 4x + 4x = 8x 4 + 8x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 8x = 8 + 0 4 + 8x = 8 Add '-4' to each side of the equation. 4 + -4 + 8x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 8 + -4 8x = 8 + -4 Combine like terms: 8 + -4 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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