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Simplifying 7(4x + 12) = 6(-9x + -5) Reorder the terms: 7(12 + 4x) = 6(-9x + -5) (12 * 7 + 4x * 7) = 6(-9x + -5) (84 + 28x) = 6(-9x + -5) Reorder the terms: 84 + 28x = 6(-5 + -9x) 84 + 28x = (-5 * 6 + -9x * 6) 84 + 28x = (-30 + -54x) Solving 84 + 28x = -30 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 84 + 28x + 54x = -30 + -54x + 54x Combine like terms: 28x + 54x = 82x 84 + 82x = -30 + -54x + 54x Combine like terms: -54x + 54x = 0 84 + 82x = -30 + 0 84 + 82x = -30 Add '-84' to each side of the equation. 84 + -84 + 82x = -30 + -84 Combine like terms: 84 + -84 = 0 0 + 82x = -30 + -84 82x = -30 + -84 Combine like terms: -30 + -84 = -114 82x = -114 Divide each side by '82'. x = -1.390243902 Simplifying x = -1.390243902
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