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Simplifying -50 = x + 2(x + -9) + -2 Reorder the terms: -50 = x + 2(-9 + x) + -2 -50 = x + (-9 * 2 + x * 2) + -2 -50 = x + (-18 + 2x) + -2 Reorder the terms: -50 = -18 + -2 + x + 2x Combine like terms: -18 + -2 = -20 -50 = -20 + x + 2x Combine like terms: x + 2x = 3x -50 = -20 + 3x Solving -50 = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -50 + -3x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -50 + -3x = -20 + 0 -50 + -3x = -20 Add '50' to each side of the equation. -50 + 50 + -3x = -20 + 50 Combine like terms: -50 + 50 = 0 0 + -3x = -20 + 50 -3x = -20 + 50 Combine like terms: -20 + 50 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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