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Simplifying -3(x + 5) + 6 = 5(x + 5) + 9 Reorder the terms: -3(5 + x) + 6 = 5(x + 5) + 9 (5 * -3 + x * -3) + 6 = 5(x + 5) + 9 (-15 + -3x) + 6 = 5(x + 5) + 9 Reorder the terms: -15 + 6 + -3x = 5(x + 5) + 9 Combine like terms: -15 + 6 = -9 -9 + -3x = 5(x + 5) + 9 Reorder the terms: -9 + -3x = 5(5 + x) + 9 -9 + -3x = (5 * 5 + x * 5) + 9 -9 + -3x = (25 + 5x) + 9 Reorder the terms: -9 + -3x = 25 + 9 + 5x Combine like terms: 25 + 9 = 34 -9 + -3x = 34 + 5x Solving -9 + -3x = 34 + 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. -9 + -3x + -5x = 34 + 5x + -5x Combine like terms: -3x + -5x = -8x -9 + -8x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -8x = 34 + 0 -9 + -8x = 34 Add '9' to each side of the equation. -9 + 9 + -8x = 34 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 34 + 9 -8x = 34 + 9 Combine like terms: 34 + 9 = 43 -8x = 43 Divide each side by '-8'. x = -5.375 Simplifying x = -5.375
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