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Simplifying 5x + 8x + -42 = 105 + -8x Reorder the terms: -42 + 5x + 8x = 105 + -8x Combine like terms: 5x + 8x = 13x -42 + 13x = 105 + -8x Solving -42 + 13x = 105 + -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. -42 + 13x + 8x = 105 + -8x + 8x Combine like terms: 13x + 8x = 21x -42 + 21x = 105 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 21x = 105 + 0 -42 + 21x = 105 Add '42' to each side of the equation. -42 + 42 + 21x = 105 + 42 Combine like terms: -42 + 42 = 0 0 + 21x = 105 + 42 21x = 105 + 42 Combine like terms: 105 + 42 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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