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Simplifying 8(x + -9) + 9 = 8x + -9(9 + -1x) Reorder the terms: 8(-9 + x) + 9 = 8x + -9(9 + -1x) (-9 * 8 + x * 8) + 9 = 8x + -9(9 + -1x) (-72 + 8x) + 9 = 8x + -9(9 + -1x) Reorder the terms: -72 + 9 + 8x = 8x + -9(9 + -1x) Combine like terms: -72 + 9 = -63 -63 + 8x = 8x + -9(9 + -1x) -63 + 8x = 8x + (9 * -9 + -1x * -9) -63 + 8x = 8x + (-81 + 9x) Reorder the terms: -63 + 8x = -81 + 8x + 9x Combine like terms: 8x + 9x = 17x -63 + 8x = -81 + 17x Solving -63 + 8x = -81 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -63 + 8x + -17x = -81 + 17x + -17x Combine like terms: 8x + -17x = -9x -63 + -9x = -81 + 17x + -17x Combine like terms: 17x + -17x = 0 -63 + -9x = -81 + 0 -63 + -9x = -81 Add '63' to each side of the equation. -63 + 63 + -9x = -81 + 63 Combine like terms: -63 + 63 = 0 0 + -9x = -81 + 63 -9x = -81 + 63 Combine like terms: -81 + 63 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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