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Simplifying -96(x + -37) = 32(1 + -58x) Reorder the terms: -96(-37 + x) = 32(1 + -58x) (-37 * -96 + x * -96) = 32(1 + -58x) (3552 + -96x) = 32(1 + -58x) 3552 + -96x = (1 * 32 + -58x * 32) 3552 + -96x = (32 + -1856x) Solving 3552 + -96x = 32 + -1856x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1856x' to each side of the equation. 3552 + -96x + 1856x = 32 + -1856x + 1856x Combine like terms: -96x + 1856x = 1760x 3552 + 1760x = 32 + -1856x + 1856x Combine like terms: -1856x + 1856x = 0 3552 + 1760x = 32 + 0 3552 + 1760x = 32 Add '-3552' to each side of the equation. 3552 + -3552 + 1760x = 32 + -3552 Combine like terms: 3552 + -3552 = 0 0 + 1760x = 32 + -3552 1760x = 32 + -3552 Combine like terms: 32 + -3552 = -3520 1760x = -3520 Divide each side by '1760'. x = -2 Simplifying x = -2
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