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Simplifying 3[7 + -1(5x + -2)] = 30x + 33 Reorder the terms: 3[7 + -1(-2 + 5x)] = 30x + 33 3[7 + (-2 * -1 + 5x * -1)] = 30x + 33 3[7 + (2 + -5x)] = 30x + 33 Combine like terms: 7 + 2 = 9 3[9 + -5x] = 30x + 33 [9 * 3 + -5x * 3] = 30x + 33 [27 + -15x] = 30x + 33 Reorder the terms: 27 + -15x = 33 + 30x Solving 27 + -15x = 33 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 27 + -15x + -30x = 33 + 30x + -30x Combine like terms: -15x + -30x = -45x 27 + -45x = 33 + 30x + -30x Combine like terms: 30x + -30x = 0 27 + -45x = 33 + 0 27 + -45x = 33 Add '-27' to each side of the equation. 27 + -27 + -45x = 33 + -27 Combine like terms: 27 + -27 = 0 0 + -45x = 33 + -27 -45x = 33 + -27 Combine like terms: 33 + -27 = 6 -45x = 6 Divide each side by '-45'. x = -0.1333333333 Simplifying x = -0.1333333333
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