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Simplifying 4[x + 2(3 + -1x)] = 2x + 1 4[x + (3 * 2 + -1x * 2)] = 2x + 1 4[x + (6 + -2x)] = 2x + 1 Reorder the terms: 4[6 + x + -2x] = 2x + 1 Combine like terms: x + -2x = -1x 4[6 + -1x] = 2x + 1 [6 * 4 + -1x * 4] = 2x + 1 [24 + -4x] = 2x + 1 Reorder the terms: 24 + -4x = 1 + 2x Solving 24 + -4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -4x + -2x = 1 + 2x + -2x Combine like terms: -4x + -2x = -6x 24 + -6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -6x = 1 + 0 24 + -6x = 1 Add '-24' to each side of the equation. 24 + -24 + -6x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 1 + -24 -6x = 1 + -24 Combine like terms: 1 + -24 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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