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Simplifying 6(3x + 1) + 5(10 + -4x) = 39 Reorder the terms: 6(1 + 3x) + 5(10 + -4x) = 39 (1 * 6 + 3x * 6) + 5(10 + -4x) = 39 (6 + 18x) + 5(10 + -4x) = 39 6 + 18x + (10 * 5 + -4x * 5) = 39 6 + 18x + (50 + -20x) = 39 Reorder the terms: 6 + 50 + 18x + -20x = 39 Combine like terms: 6 + 50 = 56 56 + 18x + -20x = 39 Combine like terms: 18x + -20x = -2x 56 + -2x = 39 Solving 56 + -2x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -2x = 39 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = 39 + -56 -2x = 39 + -56 Combine like terms: 39 + -56 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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