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Simplifying 2[6 + -1(-4x + -7)] = 16x + 40 Reorder the terms: 2[6 + -1(-7 + -4x)] = 16x + 40 2[6 + (-7 * -1 + -4x * -1)] = 16x + 40 2[6 + (7 + 4x)] = 16x + 40 Combine like terms: 6 + 7 = 13 2[13 + 4x] = 16x + 40 [13 * 2 + 4x * 2] = 16x + 40 [26 + 8x] = 16x + 40 Reorder the terms: 26 + 8x = 40 + 16x Solving 26 + 8x = 40 + 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. 26 + 8x + -16x = 40 + 16x + -16x Combine like terms: 8x + -16x = -8x 26 + -8x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 26 + -8x = 40 + 0 26 + -8x = 40 Add '-26' to each side of the equation. 26 + -26 + -8x = 40 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 40 + -26 -8x = 40 + -26 Combine like terms: 40 + -26 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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