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Simplifying 3[x + 4(5 + -1x)] = 3x + 1 3[x + (5 * 4 + -1x * 4)] = 3x + 1 3[x + (20 + -4x)] = 3x + 1 Reorder the terms: 3[20 + x + -4x] = 3x + 1 Combine like terms: x + -4x = -3x 3[20 + -3x] = 3x + 1 [20 * 3 + -3x * 3] = 3x + 1 [60 + -9x] = 3x + 1 Reorder the terms: 60 + -9x = 1 + 3x Solving 60 + -9x = 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. 60 + -9x + -3x = 1 + 3x + -3x Combine like terms: -9x + -3x = -12x 60 + -12x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + -12x = 1 + 0 60 + -12x = 1 Add '-60' to each side of the equation. 60 + -60 + -12x = 1 + -60 Combine like terms: 60 + -60 = 0 0 + -12x = 1 + -60 -12x = 1 + -60 Combine like terms: 1 + -60 = -59 -12x = -59 Divide each side by '-12'. x = 4.916666667 Simplifying x = 4.916666667
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