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Simplifying 3[x + 2(5 + -1x)] = 3x + 1 3[x + (5 * 2 + -1x * 2)] = 3x + 1 3[x + (10 + -2x)] = 3x + 1 Reorder the terms: 3[10 + x + -2x] = 3x + 1 Combine like terms: x + -2x = -1x 3[10 + -1x] = 3x + 1 [10 * 3 + -1x * 3] = 3x + 1 [30 + -3x] = 3x + 1 Reorder the terms: 30 + -3x = 1 + 3x Solving 30 + -3x = 1 + 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. 30 + -3x + -3x = 1 + 3x + -3x Combine like terms: -3x + -3x = -6x 30 + -6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -6x = 1 + 0 30 + -6x = 1 Add '-30' to each side of the equation. 30 + -30 + -6x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 1 + -30 -6x = 1 + -30 Combine like terms: 1 + -30 = -29 -6x = -29 Divide each side by '-6'. x = 4.833333333 Simplifying x = 4.833333333
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