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Simplifying 5x + 13 = 2x + -5 Reorder the terms: 13 + 5x = 2x + -5 Reorder the terms: 13 + 5x = -5 + 2x Solving 13 + 5x = -5 + 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 + 5x + -2x = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x 13 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 3x = -5 + 0 13 + 3x = -5 Add '-13' to each side of the equation. 13 + -13 + 3x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -5 + -13 3x = -5 + -13 Combine like terms: -5 + -13 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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