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Simplifying 2[x + 3(4 + -1x)] = 3x + 1 2[x + (4 * 3 + -1x * 3)] = 3x + 1 2[x + (12 + -3x)] = 3x + 1 Reorder the terms: 2[12 + x + -3x] = 3x + 1 Combine like terms: x + -3x = -2x 2[12 + -2x] = 3x + 1 [12 * 2 + -2x * 2] = 3x + 1 [24 + -4x] = 3x + 1 Reorder the terms: 24 + -4x = 1 + 3x Solving 24 + -4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -4x + -3x = 1 + 3x + -3x Combine like terms: -4x + -3x = -7x 24 + -7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -7x = 1 + 0 24 + -7x = 1 Add '-24' to each side of the equation. 24 + -24 + -7x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 1 + -24 -7x = 1 + -24 Combine like terms: 1 + -24 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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