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Simplifying -3(x + 3) + 5 = 5(x + 5) + 8 Reorder the terms: -3(3 + x) + 5 = 5(x + 5) + 8 (3 * -3 + x * -3) + 5 = 5(x + 5) + 8 (-9 + -3x) + 5 = 5(x + 5) + 8 Reorder the terms: -9 + 5 + -3x = 5(x + 5) + 8 Combine like terms: -9 + 5 = -4 -4 + -3x = 5(x + 5) + 8 Reorder the terms: -4 + -3x = 5(5 + x) + 8 -4 + -3x = (5 * 5 + x * 5) + 8 -4 + -3x = (25 + 5x) + 8 Reorder the terms: -4 + -3x = 25 + 8 + 5x Combine like terms: 25 + 8 = 33 -4 + -3x = 33 + 5x Solving -4 + -3x = 33 + 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. -4 + -3x + -5x = 33 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = 33 + 0 -4 + -8x = 33 Add '4' to each side of the equation. -4 + 4 + -8x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 33 + 4 -8x = 33 + 4 Combine like terms: 33 + 4 = 37 -8x = 37 Divide each side by '-8'. x = -4.625 Simplifying x = -4.625
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