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Simplifying 7(3x + 5) = 11 + -1(x + 9) Reorder the terms: 7(5 + 3x) = 11 + -1(x + 9) (5 * 7 + 3x * 7) = 11 + -1(x + 9) (35 + 21x) = 11 + -1(x + 9) Reorder the terms: 35 + 21x = 11 + -1(9 + x) 35 + 21x = 11 + (9 * -1 + x * -1) 35 + 21x = 11 + (-9 + -1x) Combine like terms: 11 + -9 = 2 35 + 21x = 2 + -1x Solving 35 + 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. 35 + 21x + x = 2 + -1x + x Combine like terms: 21x + x = 22x 35 + 22x = 2 + -1x + x Combine like terms: -1x + x = 0 35 + 22x = 2 + 0 35 + 22x = 2 Add '-35' to each side of the equation. 35 + -35 + 22x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 22x = 2 + -35 22x = 2 + -35 Combine like terms: 2 + -35 = -33 22x = -33 Divide each side by '22'. x = -1.5 Simplifying x = -1.5
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