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Simplifying 2(8x + -1) + 5(2x + -3) = 35 Reorder the terms: 2(-1 + 8x) + 5(2x + -3) = 35 (-1 * 2 + 8x * 2) + 5(2x + -3) = 35 (-2 + 16x) + 5(2x + -3) = 35 Reorder the terms: -2 + 16x + 5(-3 + 2x) = 35 -2 + 16x + (-3 * 5 + 2x * 5) = 35 -2 + 16x + (-15 + 10x) = 35 Reorder the terms: -2 + -15 + 16x + 10x = 35 Combine like terms: -2 + -15 = -17 -17 + 16x + 10x = 35 Combine like terms: 16x + 10x = 26x -17 + 26x = 35 Solving -17 + 26x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 26x = 35 + 17 Combine like terms: -17 + 17 = 0 0 + 26x = 35 + 17 26x = 35 + 17 Combine like terms: 35 + 17 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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