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Simplifying 51 = -3x + 8(2 + x) 51 = -3x + (2 * 8 + x * 8) 51 = -3x + (16 + 8x) Reorder the terms: 51 = 16 + -3x + 8x Combine like terms: -3x + 8x = 5x 51 = 16 + 5x Solving 51 = 16 + 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. 51 + -5x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + -5x = 16 + 0 51 + -5x = 16 Add '-51' to each side of the equation. 51 + -51 + -5x = 16 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = 16 + -51 -5x = 16 + -51 Combine like terms: 16 + -51 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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