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Simplifying 3[4x + -2(3x + -1)] = 7 + -9x Reorder the terms: 3[4x + -2(-1 + 3x)] = 7 + -9x 3[4x + (-1 * -2 + 3x * -2)] = 7 + -9x 3[4x + (2 + -6x)] = 7 + -9x Reorder the terms: 3[2 + 4x + -6x] = 7 + -9x Combine like terms: 4x + -6x = -2x 3[2 + -2x] = 7 + -9x [2 * 3 + -2x * 3] = 7 + -9x [6 + -6x] = 7 + -9x Solving 6 + -6x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + -6x + 9x = 7 + -9x + 9x Combine like terms: -6x + 9x = 3x 6 + 3x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 3x = 7 + 0 6 + 3x = 7 Add '-6' to each side of the equation. 6 + -6 + 3x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 7 + -6 3x = 7 + -6 Combine like terms: 7 + -6 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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