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Simplifying 10x + -1(9 + -5x) = 3x + 51 10x + (9 * -1 + -5x * -1) = 3x + 51 10x + (-9 + 5x) = 3x + 51 Reorder the terms: -9 + 10x + 5x = 3x + 51 Combine like terms: 10x + 5x = 15x -9 + 15x = 3x + 51 Reorder the terms: -9 + 15x = 51 + 3x Solving -9 + 15x = 51 + 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 + 15x + -3x = 51 + 3x + -3x Combine like terms: 15x + -3x = 12x -9 + 12x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 12x = 51 + 0 -9 + 12x = 51 Add '9' to each side of the equation. -9 + 9 + 12x = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 51 + 9 12x = 51 + 9 Combine like terms: 51 + 9 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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