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Simplifying (-13x) + -20 = (-12x) + 35 Reorder the terms: -20 + (-13x) = (-12x) + 35 Reorder the terms: -20 + (-13x) = 35 + (-12x) Solving -20 + (-13x) = 35 + (-12x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(12x)' to each side of the equation. -20 + (-13x) + (12x) = 35 + (-12x) + (12x) Combine like terms: (-13x) + (12x) = -1x -20 + -1x = 35 + (-12x) + (12x) Combine like terms: (-12x) + (12x) = 0 -20 + -1x = 35 + 0 -20 + -1x = 35 Add '20' to each side of the equation. -20 + 20 + -1x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 35 + 20 -1x = 35 + 20 Combine like terms: 35 + 20 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55
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