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Simplifying x + -1(2 + 4) = 13 + -5(x + 5) Combine like terms: 2 + 4 = 6 x + -1(6) = 13 + -5(x + 5) Multiply -1 * 6 x + -6 = 13 + -5(x + 5) Reorder the terms: -6 + x = 13 + -5(x + 5) Reorder the terms: -6 + x = 13 + -5(5 + x) -6 + x = 13 + (5 * -5 + x * -5) -6 + x = 13 + (-25 + -5x) Combine like terms: 13 + -25 = -12 -6 + x = -12 + -5x Solving -6 + x = -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. -6 + x + 5x = -12 + -5x + 5x Combine like terms: x + 5x = 6x -6 + 6x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 6x = -12 + 0 -6 + 6x = -12 Add '6' to each side of the equation. -6 + 6 + 6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -12 + 6 6x = -12 + 6 Combine like terms: -12 + 6 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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