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Simplifying 24(x + 13) + -11 = 25x + 292 Reorder the terms: 24(13 + x) + -11 = 25x + 292 (13 * 24 + x * 24) + -11 = 25x + 292 (312 + 24x) + -11 = 25x + 292 Reorder the terms: 312 + -11 + 24x = 25x + 292 Combine like terms: 312 + -11 = 301 301 + 24x = 25x + 292 Reorder the terms: 301 + 24x = 292 + 25x Solving 301 + 24x = 292 + 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. 301 + 24x + -25x = 292 + 25x + -25x Combine like terms: 24x + -25x = -1x 301 + -1x = 292 + 25x + -25x Combine like terms: 25x + -25x = 0 301 + -1x = 292 + 0 301 + -1x = 292 Add '-301' to each side of the equation. 301 + -301 + -1x = 292 + -301 Combine like terms: 301 + -301 = 0 0 + -1x = 292 + -301 -1x = 292 + -301 Combine like terms: 292 + -301 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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