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