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Simplifying 5(5x + 10) + -13x + 64 = 194 Reorder the terms: 5(10 + 5x) + -13x + 64 = 194 (10 * 5 + 5x * 5) + -13x + 64 = 194 (50 + 25x) + -13x + 64 = 194 Reorder the terms: 50 + 64 + 25x + -13x = 194 Combine like terms: 50 + 64 = 114 114 + 25x + -13x = 194 Combine like terms: 25x + -13x = 12x 114 + 12x = 194 Solving 114 + 12x = 194 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 12x = 194 + -114 Combine like terms: 114 + -114 = 0 0 + 12x = 194 + -114 12x = 194 + -114 Combine like terms: 194 + -114 = 80 12x = 80 Divide each side by '12'. x = 6.666666667 Simplifying x = 6.666666667
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