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Simplifying 7(3x + 1) + -12x = 61 Reorder the terms: 7(1 + 3x) + -12x = 61 (1 * 7 + 3x * 7) + -12x = 61 (7 + 21x) + -12x = 61 Combine like terms: 21x + -12x = 9x 7 + 9x = 61 Solving 7 + 9x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 61 + -7 9x = 61 + -7 Combine like terms: 61 + -7 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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