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Simplifying 7x + -171 = -10x + 101 Reorder the terms: -171 + 7x = -10x + 101 Reorder the terms: -171 + 7x = 101 + -10x Solving -171 + 7x = 101 + -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. -171 + 7x + 10x = 101 + -10x + 10x Combine like terms: 7x + 10x = 17x -171 + 17x = 101 + -10x + 10x Combine like terms: -10x + 10x = 0 -171 + 17x = 101 + 0 -171 + 17x = 101 Add '171' to each side of the equation. -171 + 171 + 17x = 101 + 171 Combine like terms: -171 + 171 = 0 0 + 17x = 101 + 171 17x = 101 + 171 Combine like terms: 101 + 171 = 272 17x = 272 Divide each side by '17'. x = 16 Simplifying x = 16
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