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Simplifying 6(3 + -1x) + (-20) = 28 + 3(4x + 2) (3 * 6 + -1x * 6) + (-20) = 28 + 3(4x + 2) (18 + -6x) + (-20) = 28 + 3(4x + 2) 18 + -6x + -20 = 28 + 3(4x + 2) Reorder the terms: 18 + -20 + -6x = 28 + 3(4x + 2) Combine like terms: 18 + -20 = -2 -2 + -6x = 28 + 3(4x + 2) Reorder the terms: -2 + -6x = 28 + 3(2 + 4x) -2 + -6x = 28 + (2 * 3 + 4x * 3) -2 + -6x = 28 + (6 + 12x) Combine like terms: 28 + 6 = 34 -2 + -6x = 34 + 12x Solving -2 + -6x = 34 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -6x + -12x = 34 + 12x + -12x Combine like terms: -6x + -12x = -18x -2 + -18x = 34 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -18x = 34 + 0 -2 + -18x = 34 Add '2' to each side of the equation. -2 + 2 + -18x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = 34 + 2 -18x = 34 + 2 Combine like terms: 34 + 2 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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