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Simplifying 5(x + -11) = 3x + -40 Reorder the terms: 5(-11 + x) = 3x + -40 (-11 * 5 + x * 5) = 3x + -40 (-55 + 5x) = 3x + -40 Reorder the terms: -55 + 5x = -40 + 3x Solving -55 + 5x = -40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -55 + 5x + -3x = -40 + 3x + -3x Combine like terms: 5x + -3x = 2x -55 + 2x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -55 + 2x = -40 + 0 -55 + 2x = -40 Add '55' to each side of the equation. -55 + 55 + 2x = -40 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = -40 + 55 2x = -40 + 55 Combine like terms: -40 + 55 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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