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Simplifying 3(9 + -2x) = 30 + -1(7x + 1) (9 * 3 + -2x * 3) = 30 + -1(7x + 1) (27 + -6x) = 30 + -1(7x + 1) Reorder the terms: 27 + -6x = 30 + -1(1 + 7x) 27 + -6x = 30 + (1 * -1 + 7x * -1) 27 + -6x = 30 + (-1 + -7x) Combine like terms: 30 + -1 = 29 27 + -6x = 29 + -7x Solving 27 + -6x = 29 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 27 + -6x + 7x = 29 + -7x + 7x Combine like terms: -6x + 7x = 1x 27 + 1x = 29 + -7x + 7x Combine like terms: -7x + 7x = 0 27 + 1x = 29 + 0 27 + 1x = 29 Add '-27' to each side of the equation. 27 + -27 + 1x = 29 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 29 + -27 1x = 29 + -27 Combine like terms: 29 + -27 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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