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Simplifying 6(x + -7) + -7(x + -6) = x + 6 + -1(x + -3) Reorder the terms: 6(-7 + x) + -7(x + -6) = x + 6 + -1(x + -3) (-7 * 6 + x * 6) + -7(x + -6) = x + 6 + -1(x + -3) (-42 + 6x) + -7(x + -6) = x + 6 + -1(x + -3) Reorder the terms: -42 + 6x + -7(-6 + x) = x + 6 + -1(x + -3) -42 + 6x + (-6 * -7 + x * -7) = x + 6 + -1(x + -3) -42 + 6x + (42 + -7x) = x + 6 + -1(x + -3) Reorder the terms: -42 + 42 + 6x + -7x = x + 6 + -1(x + -3) Combine like terms: -42 + 42 = 0 0 + 6x + -7x = x + 6 + -1(x + -3) 6x + -7x = x + 6 + -1(x + -3) Combine like terms: 6x + -7x = -1x -1x = x + 6 + -1(x + -3) Reorder the terms: -1x = x + 6 + -1(-3 + x) -1x = x + 6 + (-3 * -1 + x * -1) -1x = x + 6 + (3 + -1x) Reorder the terms: -1x = 6 + 3 + x + -1x Combine like terms: 6 + 3 = 9 -1x = 9 + x + -1x Combine like terms: x + -1x = 0 -1x = 9 + 0 -1x = 9 Solving -1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -9 Simplifying x = -9
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