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Simplifying 5 + -1[2(x + 3) + -8x] = 35 Reorder the terms: 5 + -1[2(3 + x) + -8x] = 35 5 + -1[(3 * 2 + x * 2) + -8x] = 35 5 + -1[(6 + 2x) + -8x] = 35 Combine like terms: 2x + -8x = -6x 5 + -1[6 + -6x] = 35 5 + [6 * -1 + -6x * -1] = 35 5 + [-6 + 6x] = 35 Combine like terms: 5 + -6 = -1 -1 + 6x = 35 Solving -1 + 6x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 35 + 1 6x = 35 + 1 Combine like terms: 35 + 1 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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