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Simplifying 8 + 6 + -5(x + -1) = 2(2x + 7) Reorder the terms: 8 + 6 + -5(-1 + x) = 2(2x + 7) 8 + 6 + (-1 * -5 + x * -5) = 2(2x + 7) 8 + 6 + (5 + -5x) = 2(2x + 7) Combine like terms: 8 + 6 = 14 14 + 5 + -5x = 2(2x + 7) Combine like terms: 14 + 5 = 19 19 + -5x = 2(2x + 7) Reorder the terms: 19 + -5x = 2(7 + 2x) 19 + -5x = (7 * 2 + 2x * 2) 19 + -5x = (14 + 4x) Solving 19 + -5x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + -5x + -4x = 14 + 4x + -4x Combine like terms: -5x + -4x = -9x 19 + -9x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -9x = 14 + 0 19 + -9x = 14 Add '-19' to each side of the equation. 19 + -19 + -9x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 14 + -19 -9x = 14 + -19 Combine like terms: 14 + -19 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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