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Simplifying (4x + 7) + -1(-8x + -2) = 20 + 10x Reorder the terms: (7 + 4x) + -1(-8x + -2) = 20 + 10x Remove parenthesis around (7 + 4x) 7 + 4x + -1(-8x + -2) = 20 + 10x Reorder the terms: 7 + 4x + -1(-2 + -8x) = 20 + 10x 7 + 4x + (-2 * -1 + -8x * -1) = 20 + 10x 7 + 4x + (2 + 8x) = 20 + 10x Reorder the terms: 7 + 2 + 4x + 8x = 20 + 10x Combine like terms: 7 + 2 = 9 9 + 4x + 8x = 20 + 10x Combine like terms: 4x + 8x = 12x 9 + 12x = 20 + 10x Solving 9 + 12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x 9 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 2x = 20 + 0 9 + 2x = 20 Add '-9' to each side of the equation. 9 + -9 + 2x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 20 + -9 2x = 20 + -9 Combine like terms: 20 + -9 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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