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Simplifying 5(3x + -11) + -7x = 11 Reorder the terms: 5(-11 + 3x) + -7x = 11 (-11 * 5 + 3x * 5) + -7x = 11 (-55 + 15x) + -7x = 11 Combine like terms: 15x + -7x = 8x -55 + 8x = 11 Solving -55 + 8x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 8x = 11 + 55 Combine like terms: -55 + 55 = 0 0 + 8x = 11 + 55 8x = 11 + 55 Combine like terms: 11 + 55 = 66 8x = 66 Divide each side by '8'. x = 8.25 Simplifying x = 8.25
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