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Simplifying 8(7x + -7) = -7(6x + -6) Reorder the terms: 8(-7 + 7x) = -7(6x + -6) (-7 * 8 + 7x * 8) = -7(6x + -6) (-56 + 56x) = -7(6x + -6) Reorder the terms: -56 + 56x = -7(-6 + 6x) -56 + 56x = (-6 * -7 + 6x * -7) -56 + 56x = (42 + -42x) Solving -56 + 56x = 42 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -56 + 56x + 42x = 42 + -42x + 42x Combine like terms: 56x + 42x = 98x -56 + 98x = 42 + -42x + 42x Combine like terms: -42x + 42x = 0 -56 + 98x = 42 + 0 -56 + 98x = 42 Add '56' to each side of the equation. -56 + 56 + 98x = 42 + 56 Combine like terms: -56 + 56 = 0 0 + 98x = 42 + 56 98x = 42 + 56 Combine like terms: 42 + 56 = 98 98x = 98 Divide each side by '98'. x = 1 Simplifying x = 1
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