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Simplifying 3(7 + -2x) = 30 + -7(x + 1) (7 * 3 + -2x * 3) = 30 + -7(x + 1) (21 + -6x) = 30 + -7(x + 1) Reorder the terms: 21 + -6x = 30 + -7(1 + x) 21 + -6x = 30 + (1 * -7 + x * -7) 21 + -6x = 30 + (-7 + -7x) Combine like terms: 30 + -7 = 23 21 + -6x = 23 + -7x Solving 21 + -6x = 23 + -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. 21 + -6x + 7x = 23 + -7x + 7x Combine like terms: -6x + 7x = 1x 21 + 1x = 23 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + 1x = 23 + 0 21 + 1x = 23 Add '-21' to each side of the equation. 21 + -21 + 1x = 23 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 23 + -21 1x = 23 + -21 Combine like terms: 23 + -21 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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