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Simplifying 3[7(5x + 2)] = 30x + 33 Reorder the terms: 3[7(2 + 5x)] = 30x + 33 3[(2 * 7 + 5x * 7)] = 30x + 33 3[(14 + 35x)] = 30x + 33 [14 * 3 + 35x * 3] = 30x + 33 [42 + 105x] = 30x + 33 Reorder the terms: 42 + 105x = 33 + 30x Solving 42 + 105x = 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. 42 + 105x + -30x = 33 + 30x + -30x Combine like terms: 105x + -30x = 75x 42 + 75x = 33 + 30x + -30x Combine like terms: 30x + -30x = 0 42 + 75x = 33 + 0 42 + 75x = 33 Add '-42' to each side of the equation. 42 + -42 + 75x = 33 + -42 Combine like terms: 42 + -42 = 0 0 + 75x = 33 + -42 75x = 33 + -42 Combine like terms: 33 + -42 = -9 75x = -9 Divide each side by '75'. x = -0.12 Simplifying x = -0.12
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