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Simplifying 6(x + -7) + -7(x + -6) = x Reorder the terms: 6(-7 + x) + -7(x + -6) = x (-7 * 6 + x * 6) + -7(x + -6) = x (-42 + 6x) + -7(x + -6) = x Reorder the terms: -42 + 6x + -7(-6 + x) = x -42 + 6x + (-6 * -7 + x * -7) = x -42 + 6x + (42 + -7x) = x Reorder the terms: -42 + 42 + 6x + -7x = x Combine like terms: -42 + 42 = 0 0 + 6x + -7x = x 6x + -7x = x Combine like terms: 6x + -7x = -1x -1x = x Solving -1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + -1x = x + -1x Combine like terms: -1x + -1x = -2x -2x = x + -1x Combine like terms: x + -1x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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