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Simplifying x + -1(2 + 4x) = 13 + -5(x + 5) x + (2 * -1 + 4x * -1) = 13 + -5(x + 5) x + (-2 + -4x) = 13 + -5(x + 5) Reorder the terms: -2 + x + -4x = 13 + -5(x + 5) Combine like terms: x + -4x = -3x -2 + -3x = 13 + -5(x + 5) Reorder the terms: -2 + -3x = 13 + -5(5 + x) -2 + -3x = 13 + (5 * -5 + x * -5) -2 + -3x = 13 + (-25 + -5x) Combine like terms: 13 + -25 = -12 -2 + -3x = -12 + -5x Solving -2 + -3x = -12 + -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 = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x -2 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 2x = -12 + 0 -2 + 2x = -12 Add '2' to each side of the equation. -2 + 2 + 2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -12 + 2 2x = -12 + 2 Combine like terms: -12 + 2 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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