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Simplifying 7(x + 6) + -3(x + 4) = 0 Reorder the terms: 7(6 + x) + -3(x + 4) = 0 (6 * 7 + x * 7) + -3(x + 4) = 0 (42 + 7x) + -3(x + 4) = 0 Reorder the terms: 42 + 7x + -3(4 + x) = 0 42 + 7x + (4 * -3 + x * -3) = 0 42 + 7x + (-12 + -3x) = 0 Reorder the terms: 42 + -12 + 7x + -3x = 0 Combine like terms: 42 + -12 = 30 30 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 30 + 4x = 0 Solving 30 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 0 + -30 4x = 0 + -30 Combine like terms: 0 + -30 = -30 4x = -30 Divide each side by '4'. x = -7.5 Simplifying x = -7.5
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