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Simplifying 4x + -182 = -7x + 71 Reorder the terms: -182 + 4x = -7x + 71 Reorder the terms: -182 + 4x = 71 + -7x Solving -182 + 4x = 71 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -182 + 4x + 7x = 71 + -7x + 7x Combine like terms: 4x + 7x = 11x -182 + 11x = 71 + -7x + 7x Combine like terms: -7x + 7x = 0 -182 + 11x = 71 + 0 -182 + 11x = 71 Add '182' to each side of the equation. -182 + 182 + 11x = 71 + 182 Combine like terms: -182 + 182 = 0 0 + 11x = 71 + 182 11x = 71 + 182 Combine like terms: 71 + 182 = 253 11x = 253 Divide each side by '11'. x = 23 Simplifying x = 23
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