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Simplifying 5 + -1(2x + 3) = 2(x + 1) Reorder the terms: 5 + -1(3 + 2x) = 2(x + 1) 5 + (3 * -1 + 2x * -1) = 2(x + 1) 5 + (-3 + -2x) = 2(x + 1) Combine like terms: 5 + -3 = 2 2 + -2x = 2(x + 1) Reorder the terms: 2 + -2x = 2(1 + x) 2 + -2x = (1 * 2 + x * 2) 2 + -2x = (2 + 2x) Add '-2' to each side of the equation. 2 + -2 + -2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + -2x = 2 + -2 + 2x -2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 -2x = 0 + 2x -2x = 2x Solving -2x = 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. -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x -4x = 2x + -2x Combine like terms: 2x + -2x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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