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Simplifying 8(-7x + -7) = (8 + -4x) + -116 Reorder the terms: 8(-7 + -7x) = (8 + -4x) + -116 (-7 * 8 + -7x * 8) = (8 + -4x) + -116 (-56 + -56x) = (8 + -4x) + -116 Remove parenthesis around (8 + -4x) -56 + -56x = 8 + -4x + -116 Reorder the terms: -56 + -56x = 8 + -116 + -4x Combine like terms: 8 + -116 = -108 -56 + -56x = -108 + -4x Solving -56 + -56x = -108 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -56 + -56x + 4x = -108 + -4x + 4x Combine like terms: -56x + 4x = -52x -56 + -52x = -108 + -4x + 4x Combine like terms: -4x + 4x = 0 -56 + -52x = -108 + 0 -56 + -52x = -108 Add '56' to each side of the equation. -56 + 56 + -52x = -108 + 56 Combine like terms: -56 + 56 = 0 0 + -52x = -108 + 56 -52x = -108 + 56 Combine like terms: -108 + 56 = -52 -52x = -52 Divide each side by '-52'. x = 1 Simplifying x = 1
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