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Simplifying -1(1 + 7x) = 5(4x + -11) (1 * -1 + 7x * -1) = 5(4x + -11) (-1 + -7x) = 5(4x + -11) Reorder the terms: -1 + -7x = 5(-11 + 4x) -1 + -7x = (-11 * 5 + 4x * 5) -1 + -7x = (-55 + 20x) Solving -1 + -7x = -55 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -1 + -7x + -20x = -55 + 20x + -20x Combine like terms: -7x + -20x = -27x -1 + -27x = -55 + 20x + -20x Combine like terms: 20x + -20x = 0 -1 + -27x = -55 + 0 -1 + -27x = -55 Add '1' to each side of the equation. -1 + 1 + -27x = -55 + 1 Combine like terms: -1 + 1 = 0 0 + -27x = -55 + 1 -27x = -55 + 1 Combine like terms: -55 + 1 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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