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Simplifying 10(6x + 4) = 16(18 + -4x) Reorder the terms: 10(4 + 6x) = 16(18 + -4x) (4 * 10 + 6x * 10) = 16(18 + -4x) (40 + 60x) = 16(18 + -4x) 40 + 60x = (18 * 16 + -4x * 16) 40 + 60x = (288 + -64x) Solving 40 + 60x = 288 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 40 + 60x + 64x = 288 + -64x + 64x Combine like terms: 60x + 64x = 124x 40 + 124x = 288 + -64x + 64x Combine like terms: -64x + 64x = 0 40 + 124x = 288 + 0 40 + 124x = 288 Add '-40' to each side of the equation. 40 + -40 + 124x = 288 + -40 Combine like terms: 40 + -40 = 0 0 + 124x = 288 + -40 124x = 288 + -40 Combine like terms: 288 + -40 = 248 124x = 248 Divide each side by '124'. x = 2 Simplifying x = 2
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