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Simplifying 6(24 + -1x) = 5x + 78 (24 * 6 + -1x * 6) = 5x + 78 (144 + -6x) = 5x + 78 Reorder the terms: 144 + -6x = 78 + 5x Solving 144 + -6x = 78 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 144 + -6x + -5x = 78 + 5x + -5x Combine like terms: -6x + -5x = -11x 144 + -11x = 78 + 5x + -5x Combine like terms: 5x + -5x = 0 144 + -11x = 78 + 0 144 + -11x = 78 Add '-144' to each side of the equation. 144 + -144 + -11x = 78 + -144 Combine like terms: 144 + -144 = 0 0 + -11x = 78 + -144 -11x = 78 + -144 Combine like terms: 78 + -144 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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