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Simplifying 2[7 + -1(-8x + -7)] = 32x + 42 Reorder the terms: 2[7 + -1(-7 + -8x)] = 32x + 42 2[7 + (-7 * -1 + -8x * -1)] = 32x + 42 2[7 + (7 + 8x)] = 32x + 42 Combine like terms: 7 + 7 = 14 2[14 + 8x] = 32x + 42 [14 * 2 + 8x * 2] = 32x + 42 [28 + 16x] = 32x + 42 Reorder the terms: 28 + 16x = 42 + 32x Solving 28 + 16x = 42 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 28 + 16x + -32x = 42 + 32x + -32x Combine like terms: 16x + -32x = -16x 28 + -16x = 42 + 32x + -32x Combine like terms: 32x + -32x = 0 28 + -16x = 42 + 0 28 + -16x = 42 Add '-28' to each side of the equation. 28 + -28 + -16x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + -16x = 42 + -28 -16x = 42 + -28 Combine like terms: 42 + -28 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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