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Simplifying 3 + -7x = 10 + -1(x + 1) Reorder the terms: 3 + -7x = 10 + -1(1 + x) 3 + -7x = 10 + (1 * -1 + x * -1) 3 + -7x = 10 + (-1 + -1x) Combine like terms: 10 + -1 = 9 3 + -7x = 9 + -1x Solving 3 + -7x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -7x + x = 9 + -1x + x Combine like terms: -7x + x = -6x 3 + -6x = 9 + -1x + x Combine like terms: -1x + x = 0 3 + -6x = 9 + 0 3 + -6x = 9 Add '-3' to each side of the equation. 3 + -3 + -6x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 9 + -3 -6x = 9 + -3 Combine like terms: 9 + -3 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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