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Simplifying 6x + (-10x + -1(2x + 6)) = 16x + (-10x + -18) Reorder the terms: 6x + (-10x + -1(6 + 2x)) = 16x + (-10x + -18) 6x + (-10x + (6 * -1 + 2x * -1)) = 16x + (-10x + -18) 6x + (-10x + (-6 + -2x)) = 16x + (-10x + -18) Reorder the terms: 6x + (-6 + -10x + -2x) = 16x + (-10x + -18) Combine like terms: -10x + -2x = -12x 6x + (-6 + -12x) = 16x + (-10x + -18) Remove parenthesis around (-6 + -12x) 6x + -6 + -12x = 16x + (-10x + -18) Reorder the terms: -6 + 6x + -12x = 16x + (-10x + -18) Combine like terms: 6x + -12x = -6x -6 + -6x = 16x + (-10x + -18) Reorder the terms: -6 + -6x = 16x + (-18 + -10x) Remove parenthesis around (-18 + -10x) -6 + -6x = 16x + -18 + -10x Reorder the terms: -6 + -6x = -18 + 16x + -10x Combine like terms: 16x + -10x = 6x -6 + -6x = -18 + 6x Solving -6 + -6x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -6x + -6x = -18 + 6x + -6x Combine like terms: -6x + -6x = -12x -6 + -12x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -12x = -18 + 0 -6 + -12x = -18 Add '6' to each side of the equation. -6 + 6 + -12x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -18 + 6 -12x = -18 + 6 Combine like terms: -18 + 6 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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