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Simplifying 10 + (x + -2) = -5(x + 4) Reorder the terms: 10 + (-2 + x) = -5(x + 4) Remove parenthesis around (-2 + x) 10 + -2 + x = -5(x + 4) Combine like terms: 10 + -2 = 8 8 + x = -5(x + 4) Reorder the terms: 8 + x = -5(4 + x) 8 + x = (4 * -5 + x * -5) 8 + x = (-20 + -5x) Solving 8 + x = -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. 8 + x + 5x = -20 + -5x + 5x Combine like terms: x + 5x = 6x 8 + 6x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 6x = -20 + 0 8 + 6x = -20 Add '-8' to each side of the equation. 8 + -8 + 6x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -20 + -8 6x = -20 + -8 Combine like terms: -20 + -8 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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