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Simplifying 249 = 6(x + -60) + 75 Reorder the terms: 249 = 6(-60 + x) + 75 249 = (-60 * 6 + x * 6) + 75 249 = (-360 + 6x) + 75 Reorder the terms: 249 = -360 + 75 + 6x Combine like terms: -360 + 75 = -285 249 = -285 + 6x Solving 249 = -285 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 249 + -6x = -285 + 6x + -6x Combine like terms: 6x + -6x = 0 249 + -6x = -285 + 0 249 + -6x = -285 Add '-249' to each side of the equation. 249 + -249 + -6x = -285 + -249 Combine like terms: 249 + -249 = 0 0 + -6x = -285 + -249 -6x = -285 + -249 Combine like terms: -285 + -249 = -534 -6x = -534 Divide each side by '-6'. x = 89 Simplifying x = 89
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