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Simplifying 6(x + 4) + -7(4 + x) = 0 Reorder the terms: 6(4 + x) + -7(4 + x) = 0 (4 * 6 + x * 6) + -7(4 + x) = 0 (24 + 6x) + -7(4 + x) = 0 24 + 6x + (4 * -7 + x * -7) = 0 24 + 6x + (-28 + -7x) = 0 Reorder the terms: 24 + -28 + 6x + -7x = 0 Combine like terms: 24 + -28 = -4 -4 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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