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Simplifying 7(3x + 6) = 11 + -1(x + 2) Reorder the terms: 7(6 + 3x) = 11 + -1(x + 2) (6 * 7 + 3x * 7) = 11 + -1(x + 2) (42 + 21x) = 11 + -1(x + 2) Reorder the terms: 42 + 21x = 11 + -1(2 + x) 42 + 21x = 11 + (2 * -1 + x * -1) 42 + 21x = 11 + (-2 + -1x) Combine like terms: 11 + -2 = 9 42 + 21x = 9 + -1x Solving 42 + 21x = 9 + -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 = 9 + -1x + x Combine like terms: 21x + x = 22x 42 + 22x = 9 + -1x + x Combine like terms: -1x + x = 0 42 + 22x = 9 + 0 42 + 22x = 9 Add '-42' to each side of the equation. 42 + -42 + 22x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 22x = 9 + -42 22x = 9 + -42 Combine like terms: 9 + -42 = -33 22x = -33 Divide each side by '22'. x = -1.5 Simplifying x = -1.5
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