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Simplifying x + (-4x + -2) = 2x + 23 Reorder the terms: x + (-2 + -4x) = 2x + 23 Remove parenthesis around (-2 + -4x) x + -2 + -4x = 2x + 23 Reorder the terms: -2 + x + -4x = 2x + 23 Combine like terms: x + -4x = -3x -2 + -3x = 2x + 23 Reorder the terms: -2 + -3x = 23 + 2x Solving -2 + -3x = 23 + 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 + -3x + -2x = 23 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = 23 + 0 -2 + -5x = 23 Add '2' to each side of the equation. -2 + 2 + -5x = 23 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 23 + 2 -5x = 23 + 2 Combine like terms: 23 + 2 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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