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Simplifying 5x + -1(x + -18) = 16 + -72(x + 15) Reorder the terms: 5x + -1(-18 + x) = 16 + -72(x + 15) 5x + (-18 * -1 + x * -1) = 16 + -72(x + 15) 5x + (18 + -1x) = 16 + -72(x + 15) Reorder the terms: 18 + 5x + -1x = 16 + -72(x + 15) Combine like terms: 5x + -1x = 4x 18 + 4x = 16 + -72(x + 15) Reorder the terms: 18 + 4x = 16 + -72(15 + x) 18 + 4x = 16 + (15 * -72 + x * -72) 18 + 4x = 16 + (-1080 + -72x) Combine like terms: 16 + -1080 = -1064 18 + 4x = -1064 + -72x Solving 18 + 4x = -1064 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 18 + 4x + 72x = -1064 + -72x + 72x Combine like terms: 4x + 72x = 76x 18 + 76x = -1064 + -72x + 72x Combine like terms: -72x + 72x = 0 18 + 76x = -1064 + 0 18 + 76x = -1064 Add '-18' to each side of the equation. 18 + -18 + 76x = -1064 + -18 Combine like terms: 18 + -18 = 0 0 + 76x = -1064 + -18 76x = -1064 + -18 Combine like terms: -1064 + -18 = -1082 76x = -1082 Divide each side by '76'. x = -14.23684211 Simplifying x = -14.23684211
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