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Simplifying 3x + -13 = 5x + -8 Reorder the terms: -13 + 3x = 5x + -8 Reorder the terms: -13 + 3x = -8 + 5x Solving -13 + 3x = -8 + 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 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x -13 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -2x = -8 + 0 -13 + -2x = -8 Add '13' to each side of the equation. -13 + 13 + -2x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -8 + 13 -2x = -8 + 13 Combine like terms: -8 + 13 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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