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Simplifying 6(4 + x) = 5(x + -6) + 60 (4 * 6 + x * 6) = 5(x + -6) + 60 (24 + 6x) = 5(x + -6) + 60 Reorder the terms: 24 + 6x = 5(-6 + x) + 60 24 + 6x = (-6 * 5 + x * 5) + 60 24 + 6x = (-30 + 5x) + 60 Reorder the terms: 24 + 6x = -30 + 60 + 5x Combine like terms: -30 + 60 = 30 24 + 6x = 30 + 5x Solving 24 + 6x = 30 + 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. 24 + 6x + -5x = 30 + 5x + -5x Combine like terms: 6x + -5x = 1x 24 + 1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 1x = 30 + 0 24 + 1x = 30 Add '-24' to each side of the equation. 24 + -24 + 1x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 30 + -24 1x = 30 + -24 Combine like terms: 30 + -24 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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