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Simplifying 13 + 4(6x + -5) = 5(5x + 2) Reorder the terms: 13 + 4(-5 + 6x) = 5(5x + 2) 13 + (-5 * 4 + 6x * 4) = 5(5x + 2) 13 + (-20 + 24x) = 5(5x + 2) Combine like terms: 13 + -20 = -7 -7 + 24x = 5(5x + 2) Reorder the terms: -7 + 24x = 5(2 + 5x) -7 + 24x = (2 * 5 + 5x * 5) -7 + 24x = (10 + 25x) Solving -7 + 24x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -7 + 24x + -25x = 10 + 25x + -25x Combine like terms: 24x + -25x = -1x -7 + -1x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 -7 + -1x = 10 + 0 -7 + -1x = 10 Add '7' to each side of the equation. -7 + 7 + -1x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 10 + 7 -1x = 10 + 7 Combine like terms: 10 + 7 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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