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Simplifying 4(x + 1) = 6 + -1(1 + -2x) Reorder the terms: 4(1 + x) = 6 + -1(1 + -2x) (1 * 4 + x * 4) = 6 + -1(1 + -2x) (4 + 4x) = 6 + -1(1 + -2x) 4 + 4x = 6 + (1 * -1 + -2x * -1) 4 + 4x = 6 + (-1 + 2x) Combine like terms: 6 + -1 = 5 4 + 4x = 5 + 2x Solving 4 + 4x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 5 + 0 4 + 2x = 5 Add '-4' to each side of the equation. 4 + -4 + 2x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 5 + -4 2x = 5 + -4 Combine like terms: 5 + -4 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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