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Simplifying 182(x + -1) = 44(4x + -1) Reorder the terms: 182(-1 + x) = 44(4x + -1) (-1 * 182 + x * 182) = 44(4x + -1) (-182 + 182x) = 44(4x + -1) Reorder the terms: -182 + 182x = 44(-1 + 4x) -182 + 182x = (-1 * 44 + 4x * 44) -182 + 182x = (-44 + 176x) Solving -182 + 182x = -44 + 176x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-176x' to each side of the equation. -182 + 182x + -176x = -44 + 176x + -176x Combine like terms: 182x + -176x = 6x -182 + 6x = -44 + 176x + -176x Combine like terms: 176x + -176x = 0 -182 + 6x = -44 + 0 -182 + 6x = -44 Add '182' to each side of the equation. -182 + 182 + 6x = -44 + 182 Combine like terms: -182 + 182 = 0 0 + 6x = -44 + 182 6x = -44 + 182 Combine like terms: -44 + 182 = 138 6x = 138 Divide each side by '6'. x = 23 Simplifying x = 23
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