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Simplifying 8 + 8(x + -9) = 1 + -9(x + -4) Reorder the terms: 8 + 8(-9 + x) = 1 + -9(x + -4) 8 + (-9 * 8 + x * 8) = 1 + -9(x + -4) 8 + (-72 + 8x) = 1 + -9(x + -4) Combine like terms: 8 + -72 = -64 -64 + 8x = 1 + -9(x + -4) Reorder the terms: -64 + 8x = 1 + -9(-4 + x) -64 + 8x = 1 + (-4 * -9 + x * -9) -64 + 8x = 1 + (36 + -9x) Combine like terms: 1 + 36 = 37 -64 + 8x = 37 + -9x Solving -64 + 8x = 37 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -64 + 8x + 9x = 37 + -9x + 9x Combine like terms: 8x + 9x = 17x -64 + 17x = 37 + -9x + 9x Combine like terms: -9x + 9x = 0 -64 + 17x = 37 + 0 -64 + 17x = 37 Add '64' to each side of the equation. -64 + 64 + 17x = 37 + 64 Combine like terms: -64 + 64 = 0 0 + 17x = 37 + 64 17x = 37 + 64 Combine like terms: 37 + 64 = 101 17x = 101 Divide each side by '17'. x = 5.941176471 Simplifying x = 5.941176471
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