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Simplifying -12x + 13x = 5(5x + 1) + 13 Combine like terms: -12x + 13x = 1x 1x = 5(5x + 1) + 13 Reorder the terms: 1x = 5(1 + 5x) + 13 1x = (1 * 5 + 5x * 5) + 13 1x = (5 + 25x) + 13 Reorder the terms: 1x = 5 + 13 + 25x Combine like terms: 5 + 13 = 18 1x = 18 + 25x Solving 1x = 18 + 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. 1x + -25x = 18 + 25x + -25x Combine like terms: 1x + -25x = -24x -24x = 18 + 25x + -25x Combine like terms: 25x + -25x = 0 -24x = 18 + 0 -24x = 18 Divide each side by '-24'. x = -0.75 Simplifying x = -0.75
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