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Simplifying 2x + -5(3(x + -1) + -4(x + 2)) = 13 Reorder the terms: 2x + -5(3(-1 + x) + -4(x + 2)) = 13 2x + -5((-1 * 3 + x * 3) + -4(x + 2)) = 13 2x + -5((-3 + 3x) + -4(x + 2)) = 13 Reorder the terms: 2x + -5(-3 + 3x + -4(2 + x)) = 13 2x + -5(-3 + 3x + (2 * -4 + x * -4)) = 13 2x + -5(-3 + 3x + (-8 + -4x)) = 13 Reorder the terms: 2x + -5(-3 + -8 + 3x + -4x) = 13 Combine like terms: -3 + -8 = -11 2x + -5(-11 + 3x + -4x) = 13 Combine like terms: 3x + -4x = -1x 2x + -5(-11 + -1x) = 13 2x + (-11 * -5 + -1x * -5) = 13 2x + (55 + 5x) = 13 Reorder the terms: 55 + 2x + 5x = 13 Combine like terms: 2x + 5x = 7x 55 + 7x = 13 Solving 55 + 7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 7x = 13 + -55 Combine like terms: 55 + -55 = 0 0 + 7x = 13 + -55 7x = 13 + -55 Combine like terms: 13 + -55 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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