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Simplifying 5x + -2(3 + -4x) = 5(x + -5) + -13 5x + (3 * -2 + -4x * -2) = 5(x + -5) + -13 5x + (-6 + 8x) = 5(x + -5) + -13 Reorder the terms: -6 + 5x + 8x = 5(x + -5) + -13 Combine like terms: 5x + 8x = 13x -6 + 13x = 5(x + -5) + -13 Reorder the terms: -6 + 13x = 5(-5 + x) + -13 -6 + 13x = (-5 * 5 + x * 5) + -13 -6 + 13x = (-25 + 5x) + -13 Reorder the terms: -6 + 13x = -25 + -13 + 5x Combine like terms: -25 + -13 = -38 -6 + 13x = -38 + 5x Solving -6 + 13x = -38 + 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 + 13x + -5x = -38 + 5x + -5x Combine like terms: 13x + -5x = 8x -6 + 8x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 8x = -38 + 0 -6 + 8x = -38 Add '6' to each side of the equation. -6 + 6 + 8x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -38 + 6 8x = -38 + 6 Combine like terms: -38 + 6 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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