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Simplifying 3x + -9 + -8x = 3(x + 4) + -5 Reorder the terms: -9 + 3x + -8x = 3(x + 4) + -5 Combine like terms: 3x + -8x = -5x -9 + -5x = 3(x + 4) + -5 Reorder the terms: -9 + -5x = 3(4 + x) + -5 -9 + -5x = (4 * 3 + x * 3) + -5 -9 + -5x = (12 + 3x) + -5 Reorder the terms: -9 + -5x = 12 + -5 + 3x Combine like terms: 12 + -5 = 7 -9 + -5x = 7 + 3x Solving -9 + -5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -5x + -3x = 7 + 3x + -3x Combine like terms: -5x + -3x = -8x -9 + -8x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -8x = 7 + 0 -9 + -8x = 7 Add '9' to each side of the equation. -9 + 9 + -8x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 7 + 9 -8x = 7 + 9 Combine like terms: 7 + 9 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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