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Simplifying 3[2 + 4(2 + -1x) + 3x] = 1 + -5x 3[2 + (2 * 4 + -1x * 4) + 3x] = 1 + -5x 3[2 + (8 + -4x) + 3x] = 1 + -5x Combine like terms: 2 + 8 = 10 3[10 + -4x + 3x] = 1 + -5x Combine like terms: -4x + 3x = -1x 3[10 + -1x] = 1 + -5x [10 * 3 + -1x * 3] = 1 + -5x [30 + -3x] = 1 + -5x Solving 30 + -3x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + -3x + 5x = 1 + -5x + 5x Combine like terms: -3x + 5x = 2x 30 + 2x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 2x = 1 + 0 30 + 2x = 1 Add '-30' to each side of the equation. 30 + -30 + 2x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 1 + -30 2x = 1 + -30 Combine like terms: 1 + -30 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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