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Simplifying 4 + 7x = 2 + -1(1 + x) 4 + 7x = 2 + (1 * -1 + x * -1) 4 + 7x = 2 + (-1 + -1x) Combine like terms: 2 + -1 = 1 4 + 7x = 1 + -1x Solving 4 + 7x = 1 + -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. 4 + 7x + x = 1 + -1x + x Combine like terms: 7x + x = 8x 4 + 8x = 1 + -1x + x Combine like terms: -1x + x = 0 4 + 8x = 1 + 0 4 + 8x = 1 Add '-4' to each side of the equation. 4 + -4 + 8x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 1 + -4 8x = 1 + -4 Combine like terms: 1 + -4 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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