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Simplifying 6x + 3[6 + -3(x + 3)] = 3x + -2 Reorder the terms: 6x + 3[6 + -3(3 + x)] = 3x + -2 6x + 3[6 + (3 * -3 + x * -3)] = 3x + -2 6x + 3[6 + (-9 + -3x)] = 3x + -2 Combine like terms: 6 + -9 = -3 6x + 3[-3 + -3x] = 3x + -2 6x + [-3 * 3 + -3x * 3] = 3x + -2 6x + [-9 + -9x] = 3x + -2 Reorder the terms: -9 + 6x + -9x = 3x + -2 Combine like terms: 6x + -9x = -3x -9 + -3x = 3x + -2 Reorder the terms: -9 + -3x = -2 + 3x Solving -9 + -3x = -2 + 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 + -3x + -3x = -2 + 3x + -3x Combine like terms: -3x + -3x = -6x -9 + -6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -6x = -2 + 0 -9 + -6x = -2 Add '9' to each side of the equation. -9 + 9 + -6x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -2 + 9 -6x = -2 + 9 Combine like terms: -2 + 9 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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