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Simplifying 4[x + 2(3 + -1x)] = 4x + 1 4[x + (3 * 2 + -1x * 2)] = 4x + 1 4[x + (6 + -2x)] = 4x + 1 Reorder the terms: 4[6 + x + -2x] = 4x + 1 Combine like terms: x + -2x = -1x 4[6 + -1x] = 4x + 1 [6 * 4 + -1x * 4] = 4x + 1 [24 + -4x] = 4x + 1 Reorder the terms: 24 + -4x = 1 + 4x Solving 24 + -4x = 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. 24 + -4x + -4x = 1 + 4x + -4x Combine like terms: -4x + -4x = -8x 24 + -8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -8x = 1 + 0 24 + -8x = 1 Add '-24' to each side of the equation. 24 + -24 + -8x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 1 + -24 -8x = 1 + -24 Combine like terms: 1 + -24 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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