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Simplifying (2x + -6) * 39 = (x + 8) * 20 Reorder the terms: (-6 + 2x) * 39 = (x + 8) * 20 Reorder the terms for easier multiplication: 39(-6 + 2x) = (x + 8) * 20 (-6 * 39 + 2x * 39) = (x + 8) * 20 (-234 + 78x) = (x + 8) * 20 Reorder the terms: -234 + 78x = (8 + x) * 20 Reorder the terms for easier multiplication: -234 + 78x = 20(8 + x) -234 + 78x = (8 * 20 + x * 20) -234 + 78x = (160 + 20x) Solving -234 + 78x = 160 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -234 + 78x + -20x = 160 + 20x + -20x Combine like terms: 78x + -20x = 58x -234 + 58x = 160 + 20x + -20x Combine like terms: 20x + -20x = 0 -234 + 58x = 160 + 0 -234 + 58x = 160 Add '234' to each side of the equation. -234 + 234 + 58x = 160 + 234 Combine like terms: -234 + 234 = 0 0 + 58x = 160 + 234 58x = 160 + 234 Combine like terms: 160 + 234 = 394 58x = 394 Divide each side by '58'. x = 6.793103448 Simplifying x = 6.793103448
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