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Simplifying 7(3x + 6) = -1(-1x + -2) Reorder the terms: 7(6 + 3x) = -1(-1x + -2) (6 * 7 + 3x * 7) = -1(-1x + -2) (42 + 21x) = -1(-1x + -2) Reorder the terms: 42 + 21x = -1(-2 + -1x) 42 + 21x = (-2 * -1 + -1x * -1) 42 + 21x = (2 + 1x) Solving 42 + 21x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 21x + -1x = 2 + 1x + -1x Combine like terms: 21x + -1x = 20x 42 + 20x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 42 + 20x = 2 + 0 42 + 20x = 2 Add '-42' to each side of the equation. 42 + -42 + 20x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 20x = 2 + -42 20x = 2 + -42 Combine like terms: 2 + -42 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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