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Simplifying 6[x + 3(2 + -1x)] = 4x + 1 6[x + (2 * 3 + -1x * 3)] = 4x + 1 6[x + (6 + -3x)] = 4x + 1 Reorder the terms: 6[6 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 6[6 + -2x] = 4x + 1 [6 * 6 + -2x * 6] = 4x + 1 [36 + -12x] = 4x + 1 Reorder the terms: 36 + -12x = 1 + 4x Solving 36 + -12x = 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. 36 + -12x + -4x = 1 + 4x + -4x Combine like terms: -12x + -4x = -16x 36 + -16x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -16x = 1 + 0 36 + -16x = 1 Add '-36' to each side of the equation. 36 + -36 + -16x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -16x = 1 + -36 -16x = 1 + -36 Combine like terms: 1 + -36 = -35 -16x = -35 Divide each side by '-16'. x = 2.1875 Simplifying x = 2.1875
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