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Simplifying 3(7x + -6) + -1(x + 2) = 4x + 2 Reorder the terms: 3(-6 + 7x) + -1(x + 2) = 4x + 2 (-6 * 3 + 7x * 3) + -1(x + 2) = 4x + 2 (-18 + 21x) + -1(x + 2) = 4x + 2 Reorder the terms: -18 + 21x + -1(2 + x) = 4x + 2 -18 + 21x + (2 * -1 + x * -1) = 4x + 2 -18 + 21x + (-2 + -1x) = 4x + 2 Reorder the terms: -18 + -2 + 21x + -1x = 4x + 2 Combine like terms: -18 + -2 = -20 -20 + 21x + -1x = 4x + 2 Combine like terms: 21x + -1x = 20x -20 + 20x = 4x + 2 Reorder the terms: -20 + 20x = 2 + 4x Solving -20 + 20x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 20x + -4x = 2 + 4x + -4x Combine like terms: 20x + -4x = 16x -20 + 16x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 16x = 2 + 0 -20 + 16x = 2 Add '20' to each side of the equation. -20 + 20 + 16x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 2 + 20 16x = 2 + 20 Combine like terms: 2 + 20 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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