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Simplifying 2[3x + -7(x + -2)] = 1 Reorder the terms: 2[3x + -7(-2 + x)] = 1 2[3x + (-2 * -7 + x * -7)] = 1 2[3x + (14 + -7x)] = 1 Reorder the terms: 2[14 + 3x + -7x] = 1 Combine like terms: 3x + -7x = -4x 2[14 + -4x] = 1 [14 * 2 + -4x * 2] = 1 [28 + -8x] = 1 Solving 28 + -8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -8x = 1 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 1 + -28 -8x = 1 + -28 Combine like terms: 1 + -28 = -27 -8x = -27 Divide each side by '-8'. x = 3.375 Simplifying x = 3.375
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