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Simplifying 2[x + 2(3 + -1x)] = 2x + 1 2[x + (3 * 2 + -1x * 2)] = 2x + 1 2[x + (6 + -2x)] = 2x + 1 Reorder the terms: 2[6 + x + -2x] = 2x + 1 Combine like terms: x + -2x = -1x 2[6 + -1x] = 2x + 1 [6 * 2 + -1x * 2] = 2x + 1 [12 + -2x] = 2x + 1 Reorder the terms: 12 + -2x = 1 + 2x Solving 12 + -2x = 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. 12 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = 1 + 0 12 + -4x = 1 Add '-12' to each side of the equation. 12 + -12 + -4x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 1 + -12 -4x = 1 + -12 Combine like terms: 1 + -12 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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