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Simplifying 7(2x + 1) = 12x Reorder the terms: 7(1 + 2x) = 12x (1 * 7 + 2x * 7) = 12x (7 + 14x) = 12x Solving 7 + 14x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 14x + -12x = 12x + -12x Combine like terms: 14x + -12x = 2x 7 + 2x = 12x + -12x Combine like terms: 12x + -12x = 0 7 + 2x = 0 Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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