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Simplifying (x + -2) + -2(2x + 1) = 2 + 5x Reorder the terms: (-2 + x) + -2(2x + 1) = 2 + 5x Remove parenthesis around (-2 + x) -2 + x + -2(2x + 1) = 2 + 5x Reorder the terms: -2 + x + -2(1 + 2x) = 2 + 5x -2 + x + (1 * -2 + 2x * -2) = 2 + 5x -2 + x + (-2 + -4x) = 2 + 5x Reorder the terms: -2 + -2 + x + -4x = 2 + 5x Combine like terms: -2 + -2 = -4 -4 + x + -4x = 2 + 5x Combine like terms: x + -4x = -3x -4 + -3x = 2 + 5x Solving -4 + -3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + -3x + -5x = 2 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = 2 + 0 -4 + -8x = 2 Add '4' to each side of the equation. -4 + 4 + -8x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 2 + 4 -8x = 2 + 4 Combine like terms: 2 + 4 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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