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Simplifying -13 + 5x = 4x + -7 + -2 Reorder the terms: -13 + 5x = -7 + -2 + 4x Combine like terms: -7 + -2 = -9 -13 + 5x = -9 + 4x Solving -13 + 5x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -13 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 1x = -9 + 0 -13 + 1x = -9 Add '13' to each side of the equation. -13 + 13 + 1x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -9 + 13 1x = -9 + 13 Combine like terms: -9 + 13 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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