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Simplifying -3[x + (9x + 7)] = 6 + -1(3x + 9) Reorder the terms: -3[x + (7 + 9x)] = 6 + -1(3x + 9) Remove parenthesis around (7 + 9x) -3[x + 7 + 9x] = 6 + -1(3x + 9) Reorder the terms: -3[7 + x + 9x] = 6 + -1(3x + 9) Combine like terms: x + 9x = 10x -3[7 + 10x] = 6 + -1(3x + 9) [7 * -3 + 10x * -3] = 6 + -1(3x + 9) [-21 + -30x] = 6 + -1(3x + 9) Reorder the terms: -21 + -30x = 6 + -1(9 + 3x) -21 + -30x = 6 + (9 * -1 + 3x * -1) -21 + -30x = 6 + (-9 + -3x) Combine like terms: 6 + -9 = -3 -21 + -30x = -3 + -3x Solving -21 + -30x = -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. -21 + -30x + 3x = -3 + -3x + 3x Combine like terms: -30x + 3x = -27x -21 + -27x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + -27x = -3 + 0 -21 + -27x = -3 Add '21' to each side of the equation. -21 + 21 + -27x = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -27x = -3 + 21 -27x = -3 + 21 Combine like terms: -3 + 21 = 18 -27x = 18 Divide each side by '-27'. x = -0.6666666667 Simplifying x = -0.6666666667
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