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Simplifying 30 + 7(x + -1) = 3(2x + 7) Reorder the terms: 30 + 7(-1 + x) = 3(2x + 7) 30 + (-1 * 7 + x * 7) = 3(2x + 7) 30 + (-7 + 7x) = 3(2x + 7) Combine like terms: 30 + -7 = 23 23 + 7x = 3(2x + 7) Reorder the terms: 23 + 7x = 3(7 + 2x) 23 + 7x = (7 * 3 + 2x * 3) 23 + 7x = (21 + 6x) Solving 23 + 7x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + 7x + -6x = 21 + 6x + -6x Combine like terms: 7x + -6x = 1x 23 + 1x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + 1x = 21 + 0 23 + 1x = 21 Add '-23' to each side of the equation. 23 + -23 + 1x = 21 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 21 + -23 1x = 21 + -23 Combine like terms: 21 + -23 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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