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Simplifying 26x + 47(32 + -16) = 12x(-48 + -27) Combine like terms: 32 + -16 = 16 26x + 47(16) = 12x(-48 + -27) Multiply 47 * 16 26x + 752 = 12x(-48 + -27) Reorder the terms: 752 + 26x = 12x(-48 + -27) Combine like terms: -48 + -27 = -75 752 + 26x = 12x(-75) Reorder the terms for easier multiplication: 752 + 26x = 12 * -75x Multiply 12 * -75 752 + 26x = -900x Solving 752 + 26x = -900x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '900x' to each side of the equation. 752 + 26x + 900x = -900x + 900x Combine like terms: 26x + 900x = 926x 752 + 926x = -900x + 900x Combine like terms: -900x + 900x = 0 752 + 926x = 0 Add '-752' to each side of the equation. 752 + -752 + 926x = 0 + -752 Combine like terms: 752 + -752 = 0 0 + 926x = 0 + -752 926x = 0 + -752 Combine like terms: 0 + -752 = -752 926x = -752 Divide each side by '926'. x = -0.8120950324 Simplifying x = -0.8120950324
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