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Simplifying -42 + -7x = 15 + -10x Solving -42 + -7x = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -42 + -7x + 10x = 15 + -10x + 10x Combine like terms: -7x + 10x = 3x -42 + 3x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 -42 + 3x = 15 + 0 -42 + 3x = 15 Add '42' to each side of the equation. -42 + 42 + 3x = 15 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 15 + 42 3x = 15 + 42 Combine like terms: 15 + 42 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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