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Simplifying -2(x + 1) = 5 + 2x Reorder the terms: -2(1 + x) = 5 + 2x (1 * -2 + x * -2) = 5 + 2x (-2 + -2x) = 5 + 2x Solving -2 + -2x = 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. -2 + -2x + -2x = 5 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 5 + 0 -2 + -4x = 5 Add '2' to each side of the equation. -2 + 2 + -4x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 5 + 2 -4x = 5 + 2 Combine like terms: 5 + 2 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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