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Simplifying 17x + -7 = 10x + -42 Reorder the terms: -7 + 17x = 10x + -42 Reorder the terms: -7 + 17x = -42 + 10x Solving -7 + 17x = -42 + 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. -7 + 17x + -10x = -42 + 10x + -10x Combine like terms: 17x + -10x = 7x -7 + 7x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 7x = -42 + 0 -7 + 7x = -42 Add '7' to each side of the equation. -7 + 7 + 7x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = -42 + 7 7x = -42 + 7 Combine like terms: -42 + 7 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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