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Simplifying 13x + -5x + 8 = 4x + 2 + -24 Reorder the terms: 8 + 13x + -5x = 4x + 2 + -24 Combine like terms: 13x + -5x = 8x 8 + 8x = 4x + 2 + -24 Reorder the terms: 8 + 8x = 2 + -24 + 4x Combine like terms: 2 + -24 = -22 8 + 8x = -22 + 4x Solving 8 + 8x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 8x + -4x = -22 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = -22 + 0 8 + 4x = -22 Add '-8' to each side of the equation. 8 + -8 + 4x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -22 + -8 4x = -22 + -8 Combine like terms: -22 + -8 = -30 4x = -30 Divide each side by '4'. x = -7.5 Simplifying x = -7.5
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