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Simplifying 3(3x + -4) + -5 = 4x + 8 Reorder the terms: 3(-4 + 3x) + -5 = 4x + 8 (-4 * 3 + 3x * 3) + -5 = 4x + 8 (-12 + 9x) + -5 = 4x + 8 Reorder the terms: -12 + -5 + 9x = 4x + 8 Combine like terms: -12 + -5 = -17 -17 + 9x = 4x + 8 Reorder the terms: -17 + 9x = 8 + 4x Solving -17 + 9x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 9x + -4x = 8 + 4x + -4x Combine like terms: 9x + -4x = 5x -17 + 5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 5x = 8 + 0 -17 + 5x = 8 Add '17' to each side of the equation. -17 + 17 + 5x = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 8 + 17 5x = 8 + 17 Combine like terms: 8 + 17 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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