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Simplifying 3(3x + -1) = 8x + 5 + -3x + 8 Reorder the terms: 3(-1 + 3x) = 8x + 5 + -3x + 8 (-1 * 3 + 3x * 3) = 8x + 5 + -3x + 8 (-3 + 9x) = 8x + 5 + -3x + 8 Reorder the terms: -3 + 9x = 5 + 8 + 8x + -3x Combine like terms: 5 + 8 = 13 -3 + 9x = 13 + 8x + -3x Combine like terms: 8x + -3x = 5x -3 + 9x = 13 + 5x Solving -3 + 9x = 13 + 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. -3 + 9x + -5x = 13 + 5x + -5x Combine like terms: 9x + -5x = 4x -3 + 4x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 4x = 13 + 0 -3 + 4x = 13 Add '3' to each side of the equation. -3 + 3 + 4x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 13 + 3 4x = 13 + 3 Combine like terms: 13 + 3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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