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Simplifying 5 + 7x = 3 + -1(1 + x) 5 + 7x = 3 + (1 * -1 + x * -1) 5 + 7x = 3 + (-1 + -1x) Combine like terms: 3 + -1 = 2 5 + 7x = 2 + -1x Solving 5 + 7x = 2 + -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. 5 + 7x + x = 2 + -1x + x Combine like terms: 7x + x = 8x 5 + 8x = 2 + -1x + x Combine like terms: -1x + x = 0 5 + 8x = 2 + 0 5 + 8x = 2 Add '-5' to each side of the equation. 5 + -5 + 8x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 2 + -5 8x = 2 + -5 Combine like terms: 2 + -5 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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