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Simplifying 6(x + 4) = 4(x + 10) Reorder the terms: 6(4 + x) = 4(x + 10) (4 * 6 + x * 6) = 4(x + 10) (24 + 6x) = 4(x + 10) Reorder the terms: 24 + 6x = 4(10 + x) 24 + 6x = (10 * 4 + x * 4) 24 + 6x = (40 + 4x) Solving 24 + 6x = 40 + 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. 24 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 40 + 0 24 + 2x = 40 Add '-24' to each side of the equation. 24 + -24 + 2x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 40 + -24 2x = 40 + -24 Combine like terms: 40 + -24 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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