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Simplifying 4(x + 1) = 2x + (1 + -1x) Reorder the terms: 4(1 + x) = 2x + (1 + -1x) (1 * 4 + x * 4) = 2x + (1 + -1x) (4 + 4x) = 2x + (1 + -1x) Remove parenthesis around (1 + -1x) 4 + 4x = 2x + 1 + -1x Reorder the terms: 4 + 4x = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x 4 + 4x = 1 + 1x Solving 4 + 4x = 1 + 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. 4 + 4x + -1x = 1 + 1x + -1x Combine like terms: 4x + -1x = 3x 4 + 3x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 3x = 1 + 0 4 + 3x = 1 Add '-4' to each side of the equation. 4 + -4 + 3x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 1 + -4 3x = 1 + -4 Combine like terms: 1 + -4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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