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Simplifying 4[x + 3(6 + -1x)] = 4x + 1 4[x + (6 * 3 + -1x * 3)] = 4x + 1 4[x + (18 + -3x)] = 4x + 1 Reorder the terms: 4[18 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 4[18 + -2x] = 4x + 1 [18 * 4 + -2x * 4] = 4x + 1 [72 + -8x] = 4x + 1 Reorder the terms: 72 + -8x = 1 + 4x Solving 72 + -8x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 72 + -8x + -4x = 1 + 4x + -4x Combine like terms: -8x + -4x = -12x 72 + -12x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + -12x = 1 + 0 72 + -12x = 1 Add '-72' to each side of the equation. 72 + -72 + -12x = 1 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = 1 + -72 -12x = 1 + -72 Combine like terms: 1 + -72 = -71 -12x = -71 Divide each side by '-12'. x = 5.916666667 Simplifying x = 5.916666667
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