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