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Simplifying 3 + 4(x + -5) = 8 + -7(x + -8) Reorder the terms: 3 + 4(-5 + x) = 8 + -7(x + -8) 3 + (-5 * 4 + x * 4) = 8 + -7(x + -8) 3 + (-20 + 4x) = 8 + -7(x + -8) Combine like terms: 3 + -20 = -17 -17 + 4x = 8 + -7(x + -8) Reorder the terms: -17 + 4x = 8 + -7(-8 + x) -17 + 4x = 8 + (-8 * -7 + x * -7) -17 + 4x = 8 + (56 + -7x) Combine like terms: 8 + 56 = 64 -17 + 4x = 64 + -7x Solving -17 + 4x = 64 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -17 + 4x + 7x = 64 + -7x + 7x Combine like terms: 4x + 7x = 11x -17 + 11x = 64 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 11x = 64 + 0 -17 + 11x = 64 Add '17' to each side of the equation. -17 + 17 + 11x = 64 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 64 + 17 11x = 64 + 17 Combine like terms: 64 + 17 = 81 11x = 81 Divide each side by '11'. x = 7.363636364 Simplifying x = 7.363636364
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