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Simplifying 3[x + 4(6 + -1x)] = 4x + 1 3[x + (6 * 4 + -1x * 4)] = 4x + 1 3[x + (24 + -4x)] = 4x + 1 Reorder the terms: 3[24 + x + -4x] = 4x + 1 Combine like terms: x + -4x = -3x 3[24 + -3x] = 4x + 1 [24 * 3 + -3x * 3] = 4x + 1 [72 + -9x] = 4x + 1 Reorder the terms: 72 + -9x = 1 + 4x Solving 72 + -9x = 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 + -9x + -4x = 1 + 4x + -4x Combine like terms: -9x + -4x = -13x 72 + -13x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + -13x = 1 + 0 72 + -13x = 1 Add '-72' to each side of the equation. 72 + -72 + -13x = 1 + -72 Combine like terms: 72 + -72 = 0 0 + -13x = 1 + -72 -13x = 1 + -72 Combine like terms: 1 + -72 = -71 -13x = -71 Divide each side by '-13'. x = 5.461538462 Simplifying x = 5.461538462
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