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Simplifying x + -13 = 5x + -41 Reorder the terms: -13 + x = 5x + -41 Reorder the terms: -13 + x = -41 + 5x Solving -13 + x = -41 + 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. -13 + x + -5x = -41 + 5x + -5x Combine like terms: x + -5x = -4x -13 + -4x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -4x = -41 + 0 -13 + -4x = -41 Add '13' to each side of the equation. -13 + 13 + -4x = -41 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -41 + 13 -4x = -41 + 13 Combine like terms: -41 + 13 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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