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Simplifying 8(x + -9) = 7(9 + x) Reorder the terms: 8(-9 + x) = 7(9 + x) (-9 * 8 + x * 8) = 7(9 + x) (-72 + 8x) = 7(9 + x) -72 + 8x = (9 * 7 + x * 7) -72 + 8x = (63 + 7x) Solving -72 + 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. -72 + 8x + -7x = 63 + 7x + -7x Combine like terms: 8x + -7x = 1x -72 + 1x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 -72 + 1x = 63 + 0 -72 + 1x = 63 Add '72' to each side of the equation. -72 + 72 + 1x = 63 + 72 Combine like terms: -72 + 72 = 0 0 + 1x = 63 + 72 1x = 63 + 72 Combine like terms: 63 + 72 = 135 1x = 135 Divide each side by '1'. x = 135 Simplifying x = 135
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