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Simplifying -3(x + 5) = 8x + 13 Reorder the terms: -3(5 + x) = 8x + 13 (5 * -3 + x * -3) = 8x + 13 (-15 + -3x) = 8x + 13 Reorder the terms: -15 + -3x = 13 + 8x Solving -15 + -3x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + -3x + -8x = 13 + 8x + -8x Combine like terms: -3x + -8x = -11x -15 + -11x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -11x = 13 + 0 -15 + -11x = 13 Add '15' to each side of the equation. -15 + 15 + -11x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = 13 + 15 -11x = 13 + 15 Combine like terms: 13 + 15 = 28 -11x = 28 Divide each side by '-11'. x = -2.545454545 Simplifying x = -2.545454545
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