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Simplifying 1 + 8(x + -9) = 11 + -9(x + -4) Reorder the terms: 1 + 8(-9 + x) = 11 + -9(x + -4) 1 + (-9 * 8 + x * 8) = 11 + -9(x + -4) 1 + (-72 + 8x) = 11 + -9(x + -4) Combine like terms: 1 + -72 = -71 -71 + 8x = 11 + -9(x + -4) Reorder the terms: -71 + 8x = 11 + -9(-4 + x) -71 + 8x = 11 + (-4 * -9 + x * -9) -71 + 8x = 11 + (36 + -9x) Combine like terms: 11 + 36 = 47 -71 + 8x = 47 + -9x Solving -71 + 8x = 47 + -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. -71 + 8x + 9x = 47 + -9x + 9x Combine like terms: 8x + 9x = 17x -71 + 17x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 -71 + 17x = 47 + 0 -71 + 17x = 47 Add '71' to each side of the equation. -71 + 71 + 17x = 47 + 71 Combine like terms: -71 + 71 = 0 0 + 17x = 47 + 71 17x = 47 + 71 Combine like terms: 47 + 71 = 118 17x = 118 Divide each side by '17'. x = 6.941176471 Simplifying x = 6.941176471
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