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Simplifying 7(2x + 1) = 6(2x + -9) Reorder the terms: 7(1 + 2x) = 6(2x + -9) (1 * 7 + 2x * 7) = 6(2x + -9) (7 + 14x) = 6(2x + -9) Reorder the terms: 7 + 14x = 6(-9 + 2x) 7 + 14x = (-9 * 6 + 2x * 6) 7 + 14x = (-54 + 12x) Solving 7 + 14x = -54 + 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 = -54 + 12x + -12x Combine like terms: 14x + -12x = 2x 7 + 2x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 2x = -54 + 0 7 + 2x = -54 Add '-7' to each side of the equation. 7 + -7 + 2x = -54 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -54 + -7 2x = -54 + -7 Combine like terms: -54 + -7 = -61 2x = -61 Divide each side by '2'. x = -30.5 Simplifying x = -30.5
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