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Simplifying -5(1 + 4x) = 22 + 7x (1 * -5 + 4x * -5) = 22 + 7x (-5 + -20x) = 22 + 7x Solving -5 + -20x = 22 + 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. -5 + -20x + -7x = 22 + 7x + -7x Combine like terms: -20x + -7x = -27x -5 + -27x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -27x = 22 + 0 -5 + -27x = 22 Add '5' to each side of the equation. -5 + 5 + -27x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + -27x = 22 + 5 -27x = 22 + 5 Combine like terms: 22 + 5 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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