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Simplifying (12x + 7) * 2 = 30x + -4 Reorder the terms: (7 + 12x) * 2 = 30x + -4 Reorder the terms for easier multiplication: 2(7 + 12x) = 30x + -4 (7 * 2 + 12x * 2) = 30x + -4 (14 + 24x) = 30x + -4 Reorder the terms: 14 + 24x = -4 + 30x Solving 14 + 24x = -4 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 14 + 24x + -30x = -4 + 30x + -30x Combine like terms: 24x + -30x = -6x 14 + -6x = -4 + 30x + -30x Combine like terms: 30x + -30x = 0 14 + -6x = -4 + 0 14 + -6x = -4 Add '-14' to each side of the equation. 14 + -14 + -6x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -4 + -14 -6x = -4 + -14 Combine like terms: -4 + -14 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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