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Simplifying -5x + -13 = 7x + 23 Reorder the terms: -13 + -5x = 7x + 23 Reorder the terms: -13 + -5x = 23 + 7x Solving -13 + -5x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + -5x + -7x = 23 + 7x + -7x Combine like terms: -5x + -7x = -12x -13 + -12x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -12x = 23 + 0 -13 + -12x = 23 Add '13' to each side of the equation. -13 + 13 + -12x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = 23 + 13 -12x = 23 + 13 Combine like terms: 23 + 13 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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