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Simplifying 7 + 9(x + -1) = 4 + -8(x + -7) Reorder the terms: 7 + 9(-1 + x) = 4 + -8(x + -7) 7 + (-1 * 9 + x * 9) = 4 + -8(x + -7) 7 + (-9 + 9x) = 4 + -8(x + -7) Combine like terms: 7 + -9 = -2 -2 + 9x = 4 + -8(x + -7) Reorder the terms: -2 + 9x = 4 + -8(-7 + x) -2 + 9x = 4 + (-7 * -8 + x * -8) -2 + 9x = 4 + (56 + -8x) Combine like terms: 4 + 56 = 60 -2 + 9x = 60 + -8x Solving -2 + 9x = 60 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -2 + 9x + 8x = 60 + -8x + 8x Combine like terms: 9x + 8x = 17x -2 + 17x = 60 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 17x = 60 + 0 -2 + 17x = 60 Add '2' to each side of the equation. -2 + 2 + 17x = 60 + 2 Combine like terms: -2 + 2 = 0 0 + 17x = 60 + 2 17x = 60 + 2 Combine like terms: 60 + 2 = 62 17x = 62 Divide each side by '17'. x = 3.647058824 Simplifying x = 3.647058824
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