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Simplifying 8[-6x + 10] + 5[-10x + -15] = 18x + -338 Reorder the terms: 8[10 + -6x] + 5[-10x + -15] = 18x + -338 [10 * 8 + -6x * 8] + 5[-10x + -15] = 18x + -338 [80 + -48x] + 5[-10x + -15] = 18x + -338 Reorder the terms: 80 + -48x + 5[-15 + -10x] = 18x + -338 80 + -48x + [-15 * 5 + -10x * 5] = 18x + -338 80 + -48x + [-75 + -50x] = 18x + -338 Reorder the terms: 80 + -75 + -48x + -50x = 18x + -338 Combine like terms: 80 + -75 = 5 5 + -48x + -50x = 18x + -338 Combine like terms: -48x + -50x = -98x 5 + -98x = 18x + -338 Reorder the terms: 5 + -98x = -338 + 18x Solving 5 + -98x = -338 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 5 + -98x + -18x = -338 + 18x + -18x Combine like terms: -98x + -18x = -116x 5 + -116x = -338 + 18x + -18x Combine like terms: 18x + -18x = 0 5 + -116x = -338 + 0 5 + -116x = -338 Add '-5' to each side of the equation. 5 + -5 + -116x = -338 + -5 Combine like terms: 5 + -5 = 0 0 + -116x = -338 + -5 -116x = -338 + -5 Combine like terms: -338 + -5 = -343 -116x = -343 Divide each side by '-116'. x = 2.956896552 Simplifying x = 2.956896552
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