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Simplifying -3(5 + -2x) = -13(4x + 1) + -8x (5 * -3 + -2x * -3) = -13(4x + 1) + -8x (-15 + 6x) = -13(4x + 1) + -8x Reorder the terms: -15 + 6x = -13(1 + 4x) + -8x -15 + 6x = (1 * -13 + 4x * -13) + -8x -15 + 6x = (-13 + -52x) + -8x Combine like terms: -52x + -8x = -60x -15 + 6x = -13 + -60x Solving -15 + 6x = -13 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -15 + 6x + 60x = -13 + -60x + 60x Combine like terms: 6x + 60x = 66x -15 + 66x = -13 + -60x + 60x Combine like terms: -60x + 60x = 0 -15 + 66x = -13 + 0 -15 + 66x = -13 Add '15' to each side of the equation. -15 + 15 + 66x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 66x = -13 + 15 66x = -13 + 15 Combine like terms: -13 + 15 = 2 66x = 2 Divide each side by '66'. x = 0.0303030303 Simplifying x = 0.0303030303
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