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Simplifying 7(x + 1) + -3(x + 2) = -1 Reorder the terms: 7(1 + x) + -3(x + 2) = -1 (1 * 7 + x * 7) + -3(x + 2) = -1 (7 + 7x) + -3(x + 2) = -1 Reorder the terms: 7 + 7x + -3(2 + x) = -1 7 + 7x + (2 * -3 + x * -3) = -1 7 + 7x + (-6 + -3x) = -1 Reorder the terms: 7 + -6 + 7x + -3x = -1 Combine like terms: 7 + -6 = 1 1 + 7x + -3x = -1 Combine like terms: 7x + -3x = 4x 1 + 4x = -1 Solving 1 + 4x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -1 + -1 4x = -1 + -1 Combine like terms: -1 + -1 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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