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Simplifying 5x + 4(x + 11) = 8 + -1(2x + 1) Reorder the terms: 5x + 4(11 + x) = 8 + -1(2x + 1) 5x + (11 * 4 + x * 4) = 8 + -1(2x + 1) 5x + (44 + 4x) = 8 + -1(2x + 1) Reorder the terms: 44 + 5x + 4x = 8 + -1(2x + 1) Combine like terms: 5x + 4x = 9x 44 + 9x = 8 + -1(2x + 1) Reorder the terms: 44 + 9x = 8 + -1(1 + 2x) 44 + 9x = 8 + (1 * -1 + 2x * -1) 44 + 9x = 8 + (-1 + -2x) Combine like terms: 8 + -1 = 7 44 + 9x = 7 + -2x Solving 44 + 9x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 44 + 9x + 2x = 7 + -2x + 2x Combine like terms: 9x + 2x = 11x 44 + 11x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 44 + 11x = 7 + 0 44 + 11x = 7 Add '-44' to each side of the equation. 44 + -44 + 11x = 7 + -44 Combine like terms: 44 + -44 = 0 0 + 11x = 7 + -44 11x = 7 + -44 Combine like terms: 7 + -44 = -37 11x = -37 Divide each side by '11'. x = -3.363636364 Simplifying x = -3.363636364
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