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Simplifying 4(x + 9) = 5 + -1(3x + -11) Reorder the terms: 4(9 + x) = 5 + -1(3x + -11) (9 * 4 + x * 4) = 5 + -1(3x + -11) (36 + 4x) = 5 + -1(3x + -11) Reorder the terms: 36 + 4x = 5 + -1(-11 + 3x) 36 + 4x = 5 + (-11 * -1 + 3x * -1) 36 + 4x = 5 + (11 + -3x) Combine like terms: 5 + 11 = 16 36 + 4x = 16 + -3x Solving 36 + 4x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + 4x + 3x = 16 + -3x + 3x Combine like terms: 4x + 3x = 7x 36 + 7x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 7x = 16 + 0 36 + 7x = 16 Add '-36' to each side of the equation. 36 + -36 + 7x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 16 + -36 7x = 16 + -36 Combine like terms: 16 + -36 = -20 7x = -20 Divide each side by '7'. x = -2.857142857 Simplifying x = -2.857142857
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