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Simplifying 3x + 9 = 8(x + -2) Reorder the terms: 9 + 3x = 8(x + -2) Reorder the terms: 9 + 3x = 8(-2 + x) 9 + 3x = (-2 * 8 + x * 8) 9 + 3x = (-16 + 8x) Solving 9 + 3x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 3x + -8x = -16 + 8x + -8x Combine like terms: 3x + -8x = -5x 9 + -5x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -5x = -16 + 0 9 + -5x = -16 Add '-9' to each side of the equation. 9 + -9 + -5x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -16 + -9 -5x = -16 + -9 Combine like terms: -16 + -9 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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