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Simplifying 4(x + -11) = 17 + -4x Reorder the terms: 4(-11 + x) = 17 + -4x (-11 * 4 + x * 4) = 17 + -4x (-44 + 4x) = 17 + -4x Solving -44 + 4x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -44 + 4x + 4x = 17 + -4x + 4x Combine like terms: 4x + 4x = 8x -44 + 8x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 8x = 17 + 0 -44 + 8x = 17 Add '44' to each side of the equation. -44 + 44 + 8x = 17 + 44 Combine like terms: -44 + 44 = 0 0 + 8x = 17 + 44 8x = 17 + 44 Combine like terms: 17 + 44 = 61 8x = 61 Divide each side by '8'. x = 7.625 Simplifying x = 7.625
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