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Simplifying -5(7x + -6) + 2x = -5x + 39 Reorder the terms: -5(-6 + 7x) + 2x = -5x + 39 (-6 * -5 + 7x * -5) + 2x = -5x + 39 (30 + -35x) + 2x = -5x + 39 Combine like terms: -35x + 2x = -33x 30 + -33x = -5x + 39 Reorder the terms: 30 + -33x = 39 + -5x Solving 30 + -33x = 39 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + -33x + 5x = 39 + -5x + 5x Combine like terms: -33x + 5x = -28x 30 + -28x = 39 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + -28x = 39 + 0 30 + -28x = 39 Add '-30' to each side of the equation. 30 + -30 + -28x = 39 + -30 Combine like terms: 30 + -30 = 0 0 + -28x = 39 + -30 -28x = 39 + -30 Combine like terms: 39 + -30 = 9 -28x = 9 Divide each side by '-28'. x = -0.3214285714 Simplifying x = -0.3214285714
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