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Simplifying -3(x + 5) = 5(x + 6) Reorder the terms: -3(5 + x) = 5(x + 6) (5 * -3 + x * -3) = 5(x + 6) (-15 + -3x) = 5(x + 6) Reorder the terms: -15 + -3x = 5(6 + x) -15 + -3x = (6 * 5 + x * 5) -15 + -3x = (30 + 5x) Solving -15 + -3x = 30 + 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. -15 + -3x + -5x = 30 + 5x + -5x Combine like terms: -3x + -5x = -8x -15 + -8x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -8x = 30 + 0 -15 + -8x = 30 Add '15' to each side of the equation. -15 + 15 + -8x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 30 + 15 -8x = 30 + 15 Combine like terms: 30 + 15 = 45 -8x = 45 Divide each side by '-8'. x = -5.625 Simplifying x = -5.625
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