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Simplifying 30(21 + -6.5x) = 13(6x + -6) + 25.5 (21 * 30 + -6.5x * 30) = 13(6x + -6) + 25.5 (630 + -195x) = 13(6x + -6) + 25.5 Reorder the terms: 630 + -195x = 13(-6 + 6x) + 25.5 630 + -195x = (-6 * 13 + 6x * 13) + 25.5 630 + -195x = (-78 + 78x) + 25.5 Reorder the terms: 630 + -195x = -78 + 25.5 + 78x Combine like terms: -78 + 25.5 = -52.5 630 + -195x = -52.5 + 78x Solving 630 + -195x = -52.5 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. 630 + -195x + -78x = -52.5 + 78x + -78x Combine like terms: -195x + -78x = -273x 630 + -273x = -52.5 + 78x + -78x Combine like terms: 78x + -78x = 0 630 + -273x = -52.5 + 0 630 + -273x = -52.5 Add '-630' to each side of the equation. 630 + -630 + -273x = -52.5 + -630 Combine like terms: 630 + -630 = 0 0 + -273x = -52.5 + -630 -273x = -52.5 + -630 Combine like terms: -52.5 + -630 = -682.5 -273x = -682.5 Divide each side by '-273'. x = 2.5 Simplifying x = 2.5
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