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Simplifying 4[x + 2(4 + -1x)] = 2x + 1 4[x + (4 * 2 + -1x * 2)] = 2x + 1 4[x + (8 + -2x)] = 2x + 1 Reorder the terms: 4[8 + x + -2x] = 2x + 1 Combine like terms: x + -2x = -1x 4[8 + -1x] = 2x + 1 [8 * 4 + -1x * 4] = 2x + 1 [32 + -4x] = 2x + 1 Reorder the terms: 32 + -4x = 1 + 2x Solving 32 + -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. 32 + -4x + -2x = 1 + 2x + -2x Combine like terms: -4x + -2x = -6x 32 + -6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -6x = 1 + 0 32 + -6x = 1 Add '-32' to each side of the equation. 32 + -32 + -6x = 1 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 1 + -32 -6x = 1 + -32 Combine like terms: 1 + -32 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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