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Simplifying 6(9x + 16) = -37(x + -4) Reorder the terms: 6(16 + 9x) = -37(x + -4) (16 * 6 + 9x * 6) = -37(x + -4) (96 + 54x) = -37(x + -4) Reorder the terms: 96 + 54x = -37(-4 + x) 96 + 54x = (-4 * -37 + x * -37) 96 + 54x = (148 + -37x) Solving 96 + 54x = 148 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. 96 + 54x + 37x = 148 + -37x + 37x Combine like terms: 54x + 37x = 91x 96 + 91x = 148 + -37x + 37x Combine like terms: -37x + 37x = 0 96 + 91x = 148 + 0 96 + 91x = 148 Add '-96' to each side of the equation. 96 + -96 + 91x = 148 + -96 Combine like terms: 96 + -96 = 0 0 + 91x = 148 + -96 91x = 148 + -96 Combine like terms: 148 + -96 = 52 91x = 52 Divide each side by '91'. x = 0.5714285714 Simplifying x = 0.5714285714
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