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Simplifying 16 + -1(x + -2) = 5(x + -6) Reorder the terms: 16 + -1(-2 + x) = 5(x + -6) 16 + (-2 * -1 + x * -1) = 5(x + -6) 16 + (2 + -1x) = 5(x + -6) Combine like terms: 16 + 2 = 18 18 + -1x = 5(x + -6) Reorder the terms: 18 + -1x = 5(-6 + x) 18 + -1x = (-6 * 5 + x * 5) 18 + -1x = (-30 + 5x) Solving 18 + -1x = -30 + 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 + -1x + -5x = -30 + 5x + -5x Combine like terms: -1x + -5x = -6x 18 + -6x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -6x = -30 + 0 18 + -6x = -30 Add '-18' to each side of the equation. 18 + -18 + -6x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -30 + -18 -6x = -30 + -18 Combine like terms: -30 + -18 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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