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Simplifying 2[4 + -1(-4x + -7)] = 16x + 36 Reorder the terms: 2[4 + -1(-7 + -4x)] = 16x + 36 2[4 + (-7 * -1 + -4x * -1)] = 16x + 36 2[4 + (7 + 4x)] = 16x + 36 Combine like terms: 4 + 7 = 11 2[11 + 4x] = 16x + 36 [11 * 2 + 4x * 2] = 16x + 36 [22 + 8x] = 16x + 36 Reorder the terms: 22 + 8x = 36 + 16x Solving 22 + 8x = 36 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 22 + 8x + -16x = 36 + 16x + -16x Combine like terms: 8x + -16x = -8x 22 + -8x = 36 + 16x + -16x Combine like terms: 16x + -16x = 0 22 + -8x = 36 + 0 22 + -8x = 36 Add '-22' to each side of the equation. 22 + -22 + -8x = 36 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = 36 + -22 -8x = 36 + -22 Combine like terms: 36 + -22 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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