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Simplifying 7(x + 1) + 3(4 + x) + -7 = 0 Reorder the terms: 7(1 + x) + 3(4 + x) + -7 = 0 (1 * 7 + x * 7) + 3(4 + x) + -7 = 0 (7 + 7x) + 3(4 + x) + -7 = 0 7 + 7x + (4 * 3 + x * 3) + -7 = 0 7 + 7x + (12 + 3x) + -7 = 0 Reorder the terms: 7 + 12 + -7 + 7x + 3x = 0 Combine like terms: 7 + 12 = 19 19 + -7 + 7x + 3x = 0 Combine like terms: 19 + -7 = 12 12 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 12 + 10x = 0 Solving 12 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 0 + -12 10x = 0 + -12 Combine like terms: 0 + -12 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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