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Simplifying -6x + 2[5(x + 1) + 8] = 35 Reorder the terms: -6x + 2[5(1 + x) + 8] = 35 -6x + 2[(1 * 5 + x * 5) + 8] = 35 -6x + 2[(5 + 5x) + 8] = 35 Reorder the terms: -6x + 2[5 + 8 + 5x] = 35 Combine like terms: 5 + 8 = 13 -6x + 2[13 + 5x] = 35 -6x + [13 * 2 + 5x * 2] = 35 -6x + [26 + 10x] = 35 Reorder the terms: 26 + -6x + 10x = 35 Combine like terms: -6x + 10x = 4x 26 + 4x = 35 Solving 26 + 4x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4x = 35 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 35 + -26 4x = 35 + -26 Combine like terms: 35 + -26 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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