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Simplifying 8(x + -7) = 7(9 + x) Reorder the terms: 8(-7 + x) = 7(9 + x) (-7 * 8 + x * 8) = 7(9 + x) (-56 + 8x) = 7(9 + x) -56 + 8x = (9 * 7 + x * 7) -56 + 8x = (63 + 7x) Solving -56 + 8x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -56 + 8x + -7x = 63 + 7x + -7x Combine like terms: 8x + -7x = 1x -56 + 1x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 -56 + 1x = 63 + 0 -56 + 1x = 63 Add '56' to each side of the equation. -56 + 56 + 1x = 63 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = 63 + 56 1x = 63 + 56 Combine like terms: 63 + 56 = 119 1x = 119 Divide each side by '1'. x = 119 Simplifying x = 119
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