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Simplifying 3(6 + 9)(5 + -4) = 8(x + -34) Combine like terms: 6 + 9 = 15 3(15)(5 + -4) = 8(x + -34) Combine like terms: 5 + -4 = 1 3 * 15(1) = 8(x + -34) Multiply 3 * 15 45 * 1 = 8(x + -34) Multiply 45 * 1 45 = 8(x + -34) Reorder the terms: 45 = 8(-34 + x) 45 = (-34 * 8 + x * 8) 45 = (-272 + 8x) Solving 45 = -272 + 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. 45 + -8x = -272 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -8x = -272 + 0 45 + -8x = -272 Add '-45' to each side of the equation. 45 + -45 + -8x = -272 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = -272 + -45 -8x = -272 + -45 Combine like terms: -272 + -45 = -317 -8x = -317 Divide each side by '-8'. x = 39.625 Simplifying x = 39.625
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