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Simplifying 8x + 10 + -6x = 11 + -1(3x + -71) Reorder the terms: 10 + 8x + -6x = 11 + -1(3x + -71) Combine like terms: 8x + -6x = 2x 10 + 2x = 11 + -1(3x + -71) Reorder the terms: 10 + 2x = 11 + -1(-71 + 3x) 10 + 2x = 11 + (-71 * -1 + 3x * -1) 10 + 2x = 11 + (71 + -3x) Combine like terms: 11 + 71 = 82 10 + 2x = 82 + -3x Solving 10 + 2x = 82 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 2x + 3x = 82 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 82 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 82 + 0 10 + 5x = 82 Add '-10' to each side of the equation. 10 + -10 + 5x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 82 + -10 5x = 82 + -10 Combine like terms: 82 + -10 = 72 5x = 72 Divide each side by '5'. x = 14.4 Simplifying x = 14.4
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