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Simplifying 10(x + 6) = 4(x + 24) Reorder the terms: 10(6 + x) = 4(x + 24) (6 * 10 + x * 10) = 4(x + 24) (60 + 10x) = 4(x + 24) Reorder the terms: 60 + 10x = 4(24 + x) 60 + 10x = (24 * 4 + x * 4) 60 + 10x = (96 + 4x) Solving 60 + 10x = 96 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 60 + 10x + -4x = 96 + 4x + -4x Combine like terms: 10x + -4x = 6x 60 + 6x = 96 + 4x + -4x Combine like terms: 4x + -4x = 0 60 + 6x = 96 + 0 60 + 6x = 96 Add '-60' to each side of the equation. 60 + -60 + 6x = 96 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = 96 + -60 6x = 96 + -60 Combine like terms: 96 + -60 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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