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Simplifying 10.6(x + 2) = 5(x + -4) Reorder the terms: 10.6(2 + x) = 5(x + -4) (2 * 10.6 + x * 10.6) = 5(x + -4) (21.2 + 10.6x) = 5(x + -4) Reorder the terms: 21.2 + 10.6x = 5(-4 + x) 21.2 + 10.6x = (-4 * 5 + x * 5) 21.2 + 10.6x = (-20 + 5x) Solving 21.2 + 10.6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21.2 + 10.6x + -5x = -20 + 5x + -5x Combine like terms: 10.6x + -5x = 5.6x 21.2 + 5.6x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 21.2 + 5.6x = -20 + 0 21.2 + 5.6x = -20 Add '-21.2' to each side of the equation. 21.2 + -21.2 + 5.6x = -20 + -21.2 Combine like terms: 21.2 + -21.2 = 0.0 0.0 + 5.6x = -20 + -21.2 5.6x = -20 + -21.2 Combine like terms: -20 + -21.2 = -41.2 5.6x = -41.2 Divide each side by '5.6'. x = -7.357142857 Simplifying x = -7.357142857
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