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Simplifying 5x + 13 = x + -8 + -3x Reorder the terms: 13 + 5x = x + -8 + -3x Reorder the terms: 13 + 5x = -8 + x + -3x Combine like terms: x + -3x = -2x 13 + 5x = -8 + -2x Solving 13 + 5x = -8 + -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 = -8 + -2x + 2x Combine like terms: 5x + 2x = 7x 13 + 7x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 7x = -8 + 0 13 + 7x = -8 Add '-13' to each side of the equation. 13 + -13 + 7x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -8 + -13 7x = -8 + -13 Combine like terms: -8 + -13 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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