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Simplifying 9(x + -2) = -3x + 102 Reorder the terms: 9(-2 + x) = -3x + 102 (-2 * 9 + x * 9) = -3x + 102 (-18 + 9x) = -3x + 102 Reorder the terms: -18 + 9x = 102 + -3x Solving -18 + 9x = 102 + -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. -18 + 9x + 3x = 102 + -3x + 3x Combine like terms: 9x + 3x = 12x -18 + 12x = 102 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 12x = 102 + 0 -18 + 12x = 102 Add '18' to each side of the equation. -18 + 18 + 12x = 102 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 102 + 18 12x = 102 + 18 Combine like terms: 102 + 18 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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