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Simplifying 2 + -1(x + 4) + -2x = -5(x + -2) Reorder the terms: 2 + -1(4 + x) + -2x = -5(x + -2) 2 + (4 * -1 + x * -1) + -2x = -5(x + -2) 2 + (-4 + -1x) + -2x = -5(x + -2) Combine like terms: 2 + -4 = -2 -2 + -1x + -2x = -5(x + -2) Combine like terms: -1x + -2x = -3x -2 + -3x = -5(x + -2) Reorder the terms: -2 + -3x = -5(-2 + x) -2 + -3x = (-2 * -5 + x * -5) -2 + -3x = (10 + -5x) Solving -2 + -3x = 10 + -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. -2 + -3x + 5x = 10 + -5x + 5x Combine like terms: -3x + 5x = 2x -2 + 2x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 2x = 10 + 0 -2 + 2x = 10 Add '2' to each side of the equation. -2 + 2 + 2x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 10 + 2 2x = 10 + 2 Combine like terms: 10 + 2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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