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Simplifying 6x + 2[4(5 + -1x) + -8] = 35 6x + 2[(5 * 4 + -1x * 4) + -8] = 35 6x + 2[(20 + -4x) + -8] = 35 Reorder the terms: 6x + 2[20 + -8 + -4x] = 35 Combine like terms: 20 + -8 = 12 6x + 2[12 + -4x] = 35 6x + [12 * 2 + -4x * 2] = 35 6x + [24 + -8x] = 35 Reorder the terms: 24 + 6x + -8x = 35 Combine like terms: 6x + -8x = -2x 24 + -2x = 35 Solving 24 + -2x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2x = 35 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 35 + -24 -2x = 35 + -24 Combine like terms: 35 + -24 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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