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Simplifying 5(9 + 6x) + 7 = -12 + 14x (9 * 5 + 6x * 5) + 7 = -12 + 14x (45 + 30x) + 7 = -12 + 14x Reorder the terms: 45 + 7 + 30x = -12 + 14x Combine like terms: 45 + 7 = 52 52 + 30x = -12 + 14x Solving 52 + 30x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 52 + 30x + -14x = -12 + 14x + -14x Combine like terms: 30x + -14x = 16x 52 + 16x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 52 + 16x = -12 + 0 52 + 16x = -12 Add '-52' to each side of the equation. 52 + -52 + 16x = -12 + -52 Combine like terms: 52 + -52 = 0 0 + 16x = -12 + -52 16x = -12 + -52 Combine like terms: -12 + -52 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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