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Simplifying 2 + -1(4x + -16) = 5(x + -2) Reorder the terms: 2 + -1(-16 + 4x) = 5(x + -2) 2 + (-16 * -1 + 4x * -1) = 5(x + -2) 2 + (16 + -4x) = 5(x + -2) Combine like terms: 2 + 16 = 18 18 + -4x = 5(x + -2) Reorder the terms: 18 + -4x = 5(-2 + x) 18 + -4x = (-2 * 5 + x * 5) 18 + -4x = (-10 + 5x) Solving 18 + -4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -4x + -5x = -10 + 5x + -5x Combine like terms: -4x + -5x = -9x 18 + -9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -9x = -10 + 0 18 + -9x = -10 Add '-18' to each side of the equation. 18 + -18 + -9x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = -10 + -18 -9x = -10 + -18 Combine like terms: -10 + -18 = -28 -9x = -28 Divide each side by '-9'. x = 3.111111111 Simplifying x = 3.111111111
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