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Simplifying 7(x + 6) + -4(x + -6) + 6 = 0 Reorder the terms: 7(6 + x) + -4(x + -6) + 6 = 0 (6 * 7 + x * 7) + -4(x + -6) + 6 = 0 (42 + 7x) + -4(x + -6) + 6 = 0 Reorder the terms: 42 + 7x + -4(-6 + x) + 6 = 0 42 + 7x + (-6 * -4 + x * -4) + 6 = 0 42 + 7x + (24 + -4x) + 6 = 0 Reorder the terms: 42 + 24 + 6 + 7x + -4x = 0 Combine like terms: 42 + 24 = 66 66 + 6 + 7x + -4x = 0 Combine like terms: 66 + 6 = 72 72 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 72 + 3x = 0 Solving 72 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 3x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 3x = 0 + -72 3x = 0 + -72 Combine like terms: 0 + -72 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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