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Simplifying 5x + 3(2x + 7) = 2x + 30 Reorder the terms: 5x + 3(7 + 2x) = 2x + 30 5x + (7 * 3 + 2x * 3) = 2x + 30 5x + (21 + 6x) = 2x + 30 Reorder the terms: 21 + 5x + 6x = 2x + 30 Combine like terms: 5x + 6x = 11x 21 + 11x = 2x + 30 Reorder the terms: 21 + 11x = 30 + 2x Solving 21 + 11x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 11x + -2x = 30 + 2x + -2x Combine like terms: 11x + -2x = 9x 21 + 9x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 9x = 30 + 0 21 + 9x = 30 Add '-21' to each side of the equation. 21 + -21 + 9x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 30 + -21 9x = 30 + -21 Combine like terms: 30 + -21 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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