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Simplifying (3x + 5) = 11 + -1(x + 9) Reorder the terms: (5 + 3x) = 11 + -1(x + 9) Remove parenthesis around (5 + 3x) 5 + 3x = 11 + -1(x + 9) Reorder the terms: 5 + 3x = 11 + -1(9 + x) 5 + 3x = 11 + (9 * -1 + x * -1) 5 + 3x = 11 + (-9 + -1x) Combine like terms: 11 + -9 = 2 5 + 3x = 2 + -1x Solving 5 + 3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 3x + x = 2 + -1x + x Combine like terms: 3x + x = 4x 5 + 4x = 2 + -1x + x Combine like terms: -1x + x = 0 5 + 4x = 2 + 0 5 + 4x = 2 Add '-5' to each side of the equation. 5 + -5 + 4x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 2 + -5 4x = 2 + -5 Combine like terms: 2 + -5 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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