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Simplifying 3 + 9(x + -4) = 8 + -8(x + -7) Reorder the terms: 3 + 9(-4 + x) = 8 + -8(x + -7) 3 + (-4 * 9 + x * 9) = 8 + -8(x + -7) 3 + (-36 + 9x) = 8 + -8(x + -7) Combine like terms: 3 + -36 = -33 -33 + 9x = 8 + -8(x + -7) Reorder the terms: -33 + 9x = 8 + -8(-7 + x) -33 + 9x = 8 + (-7 * -8 + x * -8) -33 + 9x = 8 + (56 + -8x) Combine like terms: 8 + 56 = 64 -33 + 9x = 64 + -8x Solving -33 + 9x = 64 + -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. -33 + 9x + 8x = 64 + -8x + 8x Combine like terms: 9x + 8x = 17x -33 + 17x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 -33 + 17x = 64 + 0 -33 + 17x = 64 Add '33' to each side of the equation. -33 + 33 + 17x = 64 + 33 Combine like terms: -33 + 33 = 0 0 + 17x = 64 + 33 17x = 64 + 33 Combine like terms: 64 + 33 = 97 17x = 97 Divide each side by '17'. x = 5.705882353 Simplifying x = 5.705882353
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