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Simplifying 3(x + 1) + 7(x + 1) + -6 = 0 Reorder the terms: 3(1 + x) + 7(x + 1) + -6 = 0 (1 * 3 + x * 3) + 7(x + 1) + -6 = 0 (3 + 3x) + 7(x + 1) + -6 = 0 Reorder the terms: 3 + 3x + 7(1 + x) + -6 = 0 3 + 3x + (1 * 7 + x * 7) + -6 = 0 3 + 3x + (7 + 7x) + -6 = 0 Reorder the terms: 3 + 7 + -6 + 3x + 7x = 0 Combine like terms: 3 + 7 = 10 10 + -6 + 3x + 7x = 0 Combine like terms: 10 + -6 = 4 4 + 3x + 7x = 0 Combine like terms: 3x + 7x = 10x 4 + 10x = 0 Solving 4 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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