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Simplifying 16(8x + -35) + 13 = 20(5x + 10) + -8 Reorder the terms: 16(-35 + 8x) + 13 = 20(5x + 10) + -8 (-35 * 16 + 8x * 16) + 13 = 20(5x + 10) + -8 (-560 + 128x) + 13 = 20(5x + 10) + -8 Reorder the terms: -560 + 13 + 128x = 20(5x + 10) + -8 Combine like terms: -560 + 13 = -547 -547 + 128x = 20(5x + 10) + -8 Reorder the terms: -547 + 128x = 20(10 + 5x) + -8 -547 + 128x = (10 * 20 + 5x * 20) + -8 -547 + 128x = (200 + 100x) + -8 Reorder the terms: -547 + 128x = 200 + -8 + 100x Combine like terms: 200 + -8 = 192 -547 + 128x = 192 + 100x Solving -547 + 128x = 192 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -547 + 128x + -100x = 192 + 100x + -100x Combine like terms: 128x + -100x = 28x -547 + 28x = 192 + 100x + -100x Combine like terms: 100x + -100x = 0 -547 + 28x = 192 + 0 -547 + 28x = 192 Add '547' to each side of the equation. -547 + 547 + 28x = 192 + 547 Combine like terms: -547 + 547 = 0 0 + 28x = 192 + 547 28x = 192 + 547 Combine like terms: 192 + 547 = 739 28x = 739 Divide each side by '28'. x = 26.39285714 Simplifying x = 26.39285714
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