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Simplifying 4x + 71 = 10 + -2x + -11 Reorder the terms: 71 + 4x = 10 + -2x + -11 Reorder the terms: 71 + 4x = 10 + -11 + -2x Combine like terms: 10 + -11 = -1 71 + 4x = -1 + -2x Solving 71 + 4x = -1 + -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. 71 + 4x + 2x = -1 + -2x + 2x Combine like terms: 4x + 2x = 6x 71 + 6x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 71 + 6x = -1 + 0 71 + 6x = -1 Add '-71' to each side of the equation. 71 + -71 + 6x = -1 + -71 Combine like terms: 71 + -71 = 0 0 + 6x = -1 + -71 6x = -1 + -71 Combine like terms: -1 + -71 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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