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Simplifying 3(4x + 7) = (9x + -16) * 2 Reorder the terms: 3(7 + 4x) = (9x + -16) * 2 (7 * 3 + 4x * 3) = (9x + -16) * 2 (21 + 12x) = (9x + -16) * 2 Reorder the terms: 21 + 12x = (-16 + 9x) * 2 Reorder the terms for easier multiplication: 21 + 12x = 2(-16 + 9x) 21 + 12x = (-16 * 2 + 9x * 2) 21 + 12x = (-32 + 18x) Solving 21 + 12x = -32 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + 12x + -18x = -32 + 18x + -18x Combine like terms: 12x + -18x = -6x 21 + -6x = -32 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -6x = -32 + 0 21 + -6x = -32 Add '-21' to each side of the equation. 21 + -21 + -6x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -32 + -21 -6x = -32 + -21 Combine like terms: -32 + -21 = -53 -6x = -53 Divide each side by '-6'. x = 8.833333333 Simplifying x = 8.833333333
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