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Simplifying -338 = 7(8x + 7) + 5 Reorder the terms: -338 = 7(7 + 8x) + 5 -338 = (7 * 7 + 8x * 7) + 5 -338 = (49 + 56x) + 5 Reorder the terms: -338 = 49 + 5 + 56x Combine like terms: 49 + 5 = 54 -338 = 54 + 56x Solving -338 = 54 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -338 + -56x = 54 + 56x + -56x Combine like terms: 56x + -56x = 0 -338 + -56x = 54 + 0 -338 + -56x = 54 Add '338' to each side of the equation. -338 + 338 + -56x = 54 + 338 Combine like terms: -338 + 338 = 0 0 + -56x = 54 + 338 -56x = 54 + 338 Combine like terms: 54 + 338 = 392 -56x = 392 Divide each side by '-56'. x = -7 Simplifying x = -7
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