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Simplifying -5x + 4(x + 11) = 18 + -1(2x + 1) Reorder the terms: -5x + 4(11 + x) = 18 + -1(2x + 1) -5x + (11 * 4 + x * 4) = 18 + -1(2x + 1) -5x + (44 + 4x) = 18 + -1(2x + 1) Reorder the terms: 44 + -5x + 4x = 18 + -1(2x + 1) Combine like terms: -5x + 4x = -1x 44 + -1x = 18 + -1(2x + 1) Reorder the terms: 44 + -1x = 18 + -1(1 + 2x) 44 + -1x = 18 + (1 * -1 + 2x * -1) 44 + -1x = 18 + (-1 + -2x) Combine like terms: 18 + -1 = 17 44 + -1x = 17 + -2x Solving 44 + -1x = 17 + -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 + -1x + 2x = 17 + -2x + 2x Combine like terms: -1x + 2x = 1x 44 + 1x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 44 + 1x = 17 + 0 44 + 1x = 17 Add '-44' to each side of the equation. 44 + -44 + 1x = 17 + -44 Combine like terms: 44 + -44 = 0 0 + 1x = 17 + -44 1x = 17 + -44 Combine like terms: 17 + -44 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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