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Simplifying 5x + 10 = -42 + -8x Reorder the terms: 10 + 5x = -42 + -8x Solving 10 + 5x = -42 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 5x + 8x = -42 + -8x + 8x Combine like terms: 5x + 8x = 13x 10 + 13x = -42 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 13x = -42 + 0 10 + 13x = -42 Add '-10' to each side of the equation. 10 + -10 + 13x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = -42 + -10 13x = -42 + -10 Combine like terms: -42 + -10 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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