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Simplifying 4(13x + -31) = 2 + -5(x + 8) Reorder the terms: 4(-31 + 13x) = 2 + -5(x + 8) (-31 * 4 + 13x * 4) = 2 + -5(x + 8) (-124 + 52x) = 2 + -5(x + 8) Reorder the terms: -124 + 52x = 2 + -5(8 + x) -124 + 52x = 2 + (8 * -5 + x * -5) -124 + 52x = 2 + (-40 + -5x) Combine like terms: 2 + -40 = -38 -124 + 52x = -38 + -5x Solving -124 + 52x = -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. -124 + 52x + 5x = -38 + -5x + 5x Combine like terms: 52x + 5x = 57x -124 + 57x = -38 + -5x + 5x Combine like terms: -5x + 5x = 0 -124 + 57x = -38 + 0 -124 + 57x = -38 Add '124' to each side of the equation. -124 + 124 + 57x = -38 + 124 Combine like terms: -124 + 124 = 0 0 + 57x = -38 + 124 57x = -38 + 124 Combine like terms: -38 + 124 = 86 57x = 86 Divide each side by '57'. x = 1.50877193 Simplifying x = 1.50877193
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