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Simplifying -8 + (x + -2) = 5 + -2(x + 3) Reorder the terms: -8 + (-2 + x) = 5 + -2(x + 3) Remove parenthesis around (-2 + x) -8 + -2 + x = 5 + -2(x + 3) Combine like terms: -8 + -2 = -10 -10 + x = 5 + -2(x + 3) Reorder the terms: -10 + x = 5 + -2(3 + x) -10 + x = 5 + (3 * -2 + x * -2) -10 + x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 -10 + x = -1 + -2x Solving -10 + x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + x + 2x = -1 + -2x + 2x Combine like terms: x + 2x = 3x -10 + 3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 3x = -1 + 0 -10 + 3x = -1 Add '10' to each side of the equation. -10 + 10 + 3x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -1 + 10 3x = -1 + 10 Combine like terms: -1 + 10 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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