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Simplifying 5x + 34 = -21(1 + -7x) Reorder the terms: 34 + 5x = -21(1 + -7x) 34 + 5x = (1 * -21 + -7x * -21) 34 + 5x = (-21 + 147x) Solving 34 + 5x = -21 + 147x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-147x' to each side of the equation. 34 + 5x + -147x = -21 + 147x + -147x Combine like terms: 5x + -147x = -142x 34 + -142x = -21 + 147x + -147x Combine like terms: 147x + -147x = 0 34 + -142x = -21 + 0 34 + -142x = -21 Add '-34' to each side of the equation. 34 + -34 + -142x = -21 + -34 Combine like terms: 34 + -34 = 0 0 + -142x = -21 + -34 -142x = -21 + -34 Combine like terms: -21 + -34 = -55 -142x = -55 Divide each side by '-142'. x = 0.3873239437 Simplifying x = 0.3873239437
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