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Simplifying 2(x + 9) + -2 = 51 + -3x Reorder the terms: 2(9 + x) + -2 = 51 + -3x (9 * 2 + x * 2) + -2 = 51 + -3x (18 + 2x) + -2 = 51 + -3x Reorder the terms: 18 + -2 + 2x = 51 + -3x Combine like terms: 18 + -2 = 16 16 + 2x = 51 + -3x Solving 16 + 2x = 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. 16 + 2x + 3x = 51 + -3x + 3x Combine like terms: 2x + 3x = 5x 16 + 5x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 5x = 51 + 0 16 + 5x = 51 Add '-16' to each side of the equation. 16 + -16 + 5x = 51 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 51 + -16 5x = 51 + -16 Combine like terms: 51 + -16 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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