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Simplifying 6(3 + -1x) + (-20) = 10 + 3(2x + 4) (3 * 6 + -1x * 6) + (-20) = 10 + 3(2x + 4) (18 + -6x) + (-20) = 10 + 3(2x + 4) 18 + -6x + -20 = 10 + 3(2x + 4) Reorder the terms: 18 + -20 + -6x = 10 + 3(2x + 4) Combine like terms: 18 + -20 = -2 -2 + -6x = 10 + 3(2x + 4) Reorder the terms: -2 + -6x = 10 + 3(4 + 2x) -2 + -6x = 10 + (4 * 3 + 2x * 3) -2 + -6x = 10 + (12 + 6x) Combine like terms: 10 + 12 = 22 -2 + -6x = 22 + 6x Solving -2 + -6x = 22 + 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. -2 + -6x + -6x = 22 + 6x + -6x Combine like terms: -6x + -6x = -12x -2 + -12x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -12x = 22 + 0 -2 + -12x = 22 Add '2' to each side of the equation. -2 + 2 + -12x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 22 + 2 -12x = 22 + 2 Combine like terms: 22 + 2 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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