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Simplifying -1(9 + x) + 3x = 6x + 21 + -1x (9 * -1 + x * -1) + 3x = 6x + 21 + -1x (-9 + -1x) + 3x = 6x + 21 + -1x Combine like terms: -1x + 3x = 2x -9 + 2x = 6x + 21 + -1x Reorder the terms: -9 + 2x = 21 + 6x + -1x Combine like terms: 6x + -1x = 5x -9 + 2x = 21 + 5x Solving -9 + 2x = 21 + 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. -9 + 2x + -5x = 21 + 5x + -5x Combine like terms: 2x + -5x = -3x -9 + -3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -3x = 21 + 0 -9 + -3x = 21 Add '9' to each side of the equation. -9 + 9 + -3x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 21 + 9 -3x = 21 + 9 Combine like terms: 21 + 9 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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