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Simplifying 7(3x + 6) = 1 + -1(x + 3) Reorder the terms: 7(6 + 3x) = 1 + -1(x + 3) (6 * 7 + 3x * 7) = 1 + -1(x + 3) (42 + 21x) = 1 + -1(x + 3) Reorder the terms: 42 + 21x = 1 + -1(3 + x) 42 + 21x = 1 + (3 * -1 + x * -1) 42 + 21x = 1 + (-3 + -1x) Combine like terms: 1 + -3 = -2 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 'x' to each side of the equation. 42 + 21x + x = -2 + -1x + x Combine like terms: 21x + x = 22x 42 + 22x = -2 + -1x + x Combine like terms: -1x + x = 0 42 + 22x = -2 + 0 42 + 22x = -2 Add '-42' to each side of the equation. 42 + -42 + 22x = -2 + -42 Combine like terms: 42 + -42 = 0 0 + 22x = -2 + -42 22x = -2 + -42 Combine like terms: -2 + -42 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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