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Simplifying 5x + -7x + -13 = 2x + 9 + -13 Reorder the terms: -13 + 5x + -7x = 2x + 9 + -13 Combine like terms: 5x + -7x = -2x -13 + -2x = 2x + 9 + -13 Reorder the terms: -13 + -2x = 9 + -13 + 2x Combine like terms: 9 + -13 = -4 -13 + -2x = -4 + 2x Solving -13 + -2x = -4 + 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. -13 + -2x + -2x = -4 + 2x + -2x Combine like terms: -2x + -2x = -4x -13 + -4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -4x = -4 + 0 -13 + -4x = -4 Add '13' to each side of the equation. -13 + 13 + -4x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -4 + 13 -4x = -4 + 13 Combine like terms: -4 + 13 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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