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Simplifying 4(2x + -11) = 29 + -4(x + 5) Reorder the terms: 4(-11 + 2x) = 29 + -4(x + 5) (-11 * 4 + 2x * 4) = 29 + -4(x + 5) (-44 + 8x) = 29 + -4(x + 5) Reorder the terms: -44 + 8x = 29 + -4(5 + x) -44 + 8x = 29 + (5 * -4 + x * -4) -44 + 8x = 29 + (-20 + -4x) Combine like terms: 29 + -20 = 9 -44 + 8x = 9 + -4x Solving -44 + 8x = 9 + -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. -44 + 8x + 4x = 9 + -4x + 4x Combine like terms: 8x + 4x = 12x -44 + 12x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 12x = 9 + 0 -44 + 12x = 9 Add '44' to each side of the equation. -44 + 44 + 12x = 9 + 44 Combine like terms: -44 + 44 = 0 0 + 12x = 9 + 44 12x = 9 + 44 Combine like terms: 9 + 44 = 53 12x = 53 Divide each side by '12'. x = 4.416666667 Simplifying x = 4.416666667
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